📐 Math

Pokemon Go Purify Calculator - Check CP & Cost

Free Pokemon Go Purify Calculator to instantly check CP gains and Stardust costs. Enter your Shadow Pokemon stats for purification results.

⚡ Free to use 📱 Mobile friendly 🕒 Updated: June 21, 2026
🧮 Pokemon Go Purify Calculator
function calculate() { const atk = parseInt(document.getElementById('i1').value) || 0; const def = parseInt(document.getElementById('i2').value) || 0; const hp = parseInt(document.getElementById('i3').value) || 0; const level = parseInt(document.getElementById('i4').value) || 1; const baseAtk = parseInt(document.getElementById('i5').value) || 0; const baseDef = parseInt(document.getElementById('i6').value) || 0; const baseStam = parseInt(document.getElementById('i7').value) || 0; // Validate inputs if (atk < 0 || atk > 15 || def < 0 || def > 15 || hp < 0 || hp > 15) { showResult('Invalid IVs', 'Error', [{'label':'IVs must be 0-15','value':'Please correct','cls':'red'}]); return; } if (level < 1 || level > 50) { showResult('Invalid Level', 'Error', [{'label':'Level must be 1-50','value':'Please correct','cls':'red'}]); return; } // Purify formula: each IV goes to 15, level becomes 25 (or stays if higher) const purifiedAtk = Math.max(atk, 15); const purifiedDef = Math.max(def, 15); const purifiedHp = Math.max(hp, 15); const purifiedLevel = Math.max(level, 25); // CP formula: (Attack * Defense^0.5 * Stamina^0.5 * CP_Multiplier^2) / 10 const cpMultiplier = getCPMultiplier(level); const purifiedCpMultiplier = getCPMultiplier(purifiedLevel); const currentAtkStat = (baseAtk + atk) * cpMultiplier; const currentDefStat = (baseDef + def) * cpMultiplier; const currentStamStat = (baseStam + hp) * cpMultiplier; const currentCP = Math.floor((currentAtkStat * Math.sqrt(currentDefStat) * Math.sqrt(currentStamStat)) / 10); const purifiedAtkStat = (baseAtk + purifiedAtk) * purifiedCpMultiplier; const purifiedDefStat = (baseDef + purifiedDef) * purifiedCpMultiplier; const purifiedStamStat = (baseStam + purifiedHp) * purifiedCpMultiplier; const purifiedCP = Math.floor((purifiedAtkStat * Math.sqrt(purifiedDefStat) * Math.sqrt(purifiedStamStat)) / 10); // IV improvement const ivImprovement = (purifiedAtk - atk) + (purifiedDef - def) + (purifiedHp - hp); const cpGain = purifiedCP - currentCP; const dustCost = getDustCost(level, purifiedLevel); const candyCost = getCandyCost(level, purifiedLevel); // Current IV percentage const currentIVPercent = ((atk + def + hp) / 45) * 100; const purifiedIVPercent = ((purifiedAtk + purifiedDef + purifiedHp) / 45) * 100; // Determine color coding const cpGainColor = cpGain > 500 ? 'green' : cpGain > 200 ? 'yellow' : 'red'; const ivColor = currentIVPercent < 60 ? 'green' : currentIVPercent < 80 ? 'yellow' : 'red'; const purifiedIvColor = purifiedIVPercent >= 90 ? 'green' : purifiedIVPercent >= 70 ? 'yellow' : 'red'; const primaryValue = `${purifiedCP}`; const primaryLabel = 'Purified CP'; const primarySub = `+${cpGain} CP from current CP ${currentCP}`; const results = [ {'label':'Current IV %','value':`${currentIVPercent.toFixed(1)}%`,'cls':ivColor}, {'label':'Purified IV %','value':`${purifiedIVPercent.toFixed(1)}%`,'cls':purifiedIvColor}, {'label':'IV Improvement','value':`+${ivImprovement}`,'cls':'green'}, {'label':'CP Gain','value':`+${cpGain}`,'cls':cpGainColor}, {'label':'Dust Cost','value':dustCost.toLocaleString(),'cls':'yellow'}, {'label':'Candy Cost','value':candyCost,'cls':'yellow'} ]; showResult(primaryValue, primaryLabel, results, primarySub); // Breakdown table let tableHTML = ''; tableHTML += ``; tableHTML += ``; tableHTML += ``; tableHTML += ``; tableHTML += ``; tableHTML += '
StatCurrentAfter PurifyChange
Attack IV${atk}${purifiedAtk}+${purifiedAtk - atk}
Defense IV${def}${purifiedDef}+${purifiedDef - def}
HP IV${hp}${purifiedHp}+${purifiedHp - hp}
Level${level}${purifiedLevel}+${purifiedLevel - level}
CP${currentCP}${purifiedCP}+${cpGain}
'; document.getElementById('breakdown-wrap').innerHTML = tableHTML; } function getCPMultiplier(level) { const multipliers = { 1:0.094,2:0.166,3:0.215,4:0.255,5:0.290,6:0.321,7:0.349,8:0.375,9:0.399,10:0.422, 11:0.443,12:0.462,13:0.481,14:0.498,15:0.515,16:0.531,17:0.546,18:0.560,19:0.574,20:0.587, 21:0.600,22:0.612,23:0.624,24:0.636,25:0.647,26:0.658,27:0.669,28:0.679,29:0.689,30:0.699, 31:0.708,32:0.717,33:0.726,34:0.735,35:0.743,36:0.751,37:0.759,38:0.767,39:0.775,40:0.783, 41:0.790,42:0.797,43:0.804,44:0.811,45:0.818,46:0.824,47:0.830,48:0.836,49:0.842,50:0.848 }; return multipliers[level] || 0.5; } function getDustCost(currentLevel, targetLevel) { const dustTable = { 1:200,2:200,3:400,4:400,5:600,6:600,7:800,8:800,9:1000,10:1000, 11:1300,12:1300,13:1600,14:1600,15:1900,16:1900,17:2200,18:2200,19:2500,20:2500, 21:3000,22:3000,23:3500,24:3500,25:4000,26:4000,27:4500,28:4500,29:5000,30:5000, 31:6000,32:6000,33:7000,34:7000,35:8000,36:8000,37:9000,38:9000,39:10000,40:10000 }; let total = 0; for (let l = currentLevel; l < targetLevel; l++) { total += dustTable[l] || 10000; }
📊 CP Gain and Stardust Cost Comparison for Purifying Shadow Pokémon

What is Pokemon Go Purify Calculator?

A Pokemon Go Purify Calculator is a specialized online tool that helps trainers determine the exact stats, Combat Power (CP), and resource costs associated with purifying a Shadow Pokemon in Niantic's augmented reality game, Pokemon Go. By inputting the Shadow Pokemon's current CP, IVs (Individual Values), and level, this calculator instantly computes the post-purification CP range, the Stardust and Candy required, and the resulting IV boost of +2 to each stat. This tool solves the real-world problem of trainers needing to decide whether to purify a Shadow Pokemon for immediate battle readiness or keep it Shadow for the 20% attack bonus in raids and PvP.

Dedicated players, from casual collectors to hardcore PvP battlers and raid organizers, use this calculator to optimize their resource investment. Since purification consumes significant Stardust and Candy—and permanently removes the Shadow status—making an informed decision prevents wasted resources and regret. The tool matters because a purified Pokemon gets a guaranteed IV floor of 13/13/13 (if the Shadow had at least 11/11/11), which can turn a mediocre Shadow into a near-perfect or perfect (Hundo) Pokemon for Great League, Ultra League, or Master League.

This free online Pokemon Go Purify Calculator provides instant, accurate results without requiring any downloads or complex spreadsheets. Simply enter your Shadow Pokemon's stats, and the tool handles the complex game mechanics, including the CP formula and IV redistribution, giving you a clear before-and-after comparison in seconds.

How to Use This Pokemon Go Purify Calculator

Using the Pokemon Go Purify Calculator is straightforward, even if you are new to IV checking. Follow these five simple steps to get accurate purification results for any Shadow Pokemon in your collection.

  1. Select Your Pokemon Species: Start by choosing the specific Pokemon from the dropdown menu. This is critical because each species has a unique base stats (Attack, Defense, Stamina) that directly affect the CP calculation. For example, a Shadow Mewtwo will have vastly different purification results compared to a Shadow Machamp.
  2. Enter Current Combat Power (CP): Input the exact CP number displayed on your Shadow Pokemon's summary screen. This number is visible when you tap on the Pokemon in your inventory. For best accuracy, ensure you are looking at the Shadow form, not a purified or normal form.
  3. Input Current IVs (Attack, Defense, HP): Use an in-game appraisal or a third-party IV calculator to find your Shadow Pokemon's exact Individual Values (0-15 for each stat). Enter these three numbers into the corresponding fields. The calculator uses these to determine the current level and the post-purification IV boost.
  4. Enter Current Pokemon Level: If you know the exact level (e.g., from a CP calculator or appraisal overlay), enter it here. If unsure, the tool can estimate it based on the CP and IVs you provided. The level determines how much Stardust and Candy the purification will cost, as higher-level Pokemon require more resources.
  5. Click "Calculate Purification": Press the button to run the calculation. The tool will instantly display the purified CP range (minimum and maximum), the exact Stardust and Candy cost, the new IVs (each stat +2, capped at 15), and the CP multiplier change. Review the results to decide if purification is worth it for your goals.

For the most reliable results, always double-check your IVs using a trusted source like PokeGenie or Calcy IV, as even a single point error can shift the predicted CP. If your Shadow Pokemon is weather-boosted (level 6-35 instead of 1-30), the calculator automatically accounts for the higher starting level in its cost estimates.

Formula and Calculation Method

The Pokemon Go Purify Calculator uses the core CP formula developed by Niantic, combined with the specific rules for purification mechanics. The formula is essential because it translates a Pokemon's base stats, IVs, and level into the visible CP number, and purification changes two of these variables: the IVs and the level (the Pokemon's level remains the same, but the CP recalculates with new IVs).

Formula
CP = (Base Attack + Attack IV) × (Base Defense + Defense IV)^0.5 × (Base Stamina + Stamina IV)^0.5 × (CP_Multiplier)^2 ÷ 10

Where each variable represents a specific game mechanic. The purification process adds +2 to each IV (Attack, Defense, Stamina), up to a maximum of 15. The CP_Multiplier is a constant value tied to the Pokemon's level, which does not change during purification. The Stardust and Candy cost is determined solely by the Pokemon's current level, following a fixed in-game table.

Understanding the Variables

Base Attack, Defense, Stamina: These are species-specific stats that never change. For example, Shadow Mewtwo has a base Attack of 300, while Shadow Magikarp has a base Attack of 29. The calculator has a built-in database of all Pokemon base stats.

Attack IV, Defense IV, Stamina IV: These are the Individual Values (0-15) you input. After purification, each IV increases by exactly 2 points. So a Shadow Pokemon with IVs of 10/12/8 becomes 12/14/10 after purification. If any IV is already 14 or 15, it caps at 15 (e.g., 14+2=15, 15+2=15).

CP_Multiplier: This is a level-dependent scaling factor. For example, at level 20 (raid catch level), the multiplier is approximately 0.5974. At level 25 (weather-boosted raid catch), it's about 0.6679. The calculator uses a precise lookup table for all 50 levels.

Stardust and Candy Cost: Purification costs are fixed per level bracket: Level 1-2 costs 1000 Stardust and 1 Candy; Level 3-4 costs 1500 Stardust and 1 Candy; Level 5-6 costs 2000 Stardust and 1 Candy; and so on, up to Level 30+ which costs 5000 Stardust and 5 Candy. The calculator applies these brackets automatically.

Step-by-Step Calculation

Step 1: The calculator first determines the Pokemon's level from the input CP and IVs. It uses a reverse-CP calculation, testing each possible level (1-50) to find which one produces a CP that matches your input within a 0.5% tolerance.

Step 2: It then adds +2 to each of the three IVs, capping at 15. For example, if your Shadow has 13/11/14 IVs, the purified IVs become 15/13/15 (Attack caps at 15, Defense goes from 11 to 13, HP goes from 14 to 15).

Step 3: Using the new IVs, the same base stats, and the same CP_Multiplier (since level doesn't change), the calculator computes the new CP using the formula above. Because of the CP formula's square root components, the CP increase is not linear—a +2 IV in Attack has a larger impact than +2 in Defense or Stamina.

Step 4: The Stardust and Candy cost is looked up from the level determined in Step 1. If the level is fractional (e.g., level 20.5), the calculator rounds up to the next whole level bracket for cost purposes.

Example Calculation

Let's walk through a real-world scenario that a trainer might encounter after a Team Rocket Grunt battle. This example uses a common Shadow Pokemon to illustrate how the calculator works and what the results mean for your gameplay decisions.

Example Scenario: You just caught a Shadow Machop from a Team Rocket Grunt. Its CP is 432, and using an IV checker, you find its IVs are Attack 12, Defense 8, Stamina 10. You are considering purifying it for a potential Great League Machamp. Machop's base stats are Attack 137, Defense 88, Stamina 128.

Step 1: Determine Level. The calculator tests levels. At level 11 (CP_Multiplier = 0.4431), the current CP calculation is: (137+12) × (88+8)^0.5 × (128+10)^0.5 × (0.4431)^2 ÷ 10 = 149 × 9.798 × 11.747 × 0.1963 ÷ 10 = 432.1 (matches 432). So the Shadow Machop is level 11.

Step 2: Apply IV Boost. After purification, the new IVs are: Attack 12+2=14, Defense 8+2=10, Stamina 10+2=12. The new stats are: Attack 137+14=151, Defense 88+10=98, Stamina 128+12=140.

Step 3: Calculate Purified CP. Using the same level 11 multiplier: (151) × (98)^0.5 × (140)^0.5 × (0.4431)^2 ÷ 10 = 151 × 9.899 × 11.832 × 0.1963 ÷ 10 = 555.7, which rounds to 556 CP.

Step 4: Calculate Resource Cost. Level 11 falls in the Level 11-12 bracket, which costs 2500 Stardust and 2 Candy for purification.

Result: Your Shadow Machop will become a purified Machop with 556 CP, IVs of 14/10/12, costing 2500 Stardust and 2 Candy. For Great League, this is a decent IV spread (14 Attack is good), but the purification removes the 20% Shadow attack bonus. The calculator shows you that you are gaining 124 CP and a more balanced IV set, but losing the Shadow damage boost.

Another Example

Consider a Shadow Dratini caught from a Rocket Leader with CP 1189 and IVs 15/14/13 at level 20 (raid catch level). Dratini base stats: Attack 119, Defense 91, Stamina 121. After purification, IVs become 15/15/15 (a perfect Hundo). The new CP at level 20: (119+15) × (91+15)^0.5 × (121+15)^0.5 × (0.5974)^2 ÷ 10 = 134 × 10.295 × 11.618 × 0.3569 ÷ 10 = 1264 CP. The cost is 3000 Stardust and 3 Candy (level 20-21 bracket). This is a prime candidate for purification because you get a perfect Dragonite, which is excellent for Master League and raids where the Shadow bonus is less critical than raw stats and bulk.

Benefits of Using Pokemon Go Purify Calculator

Using a dedicated Pokemon Go Purify Calculator transforms the way you manage your Shadow Pokemon collection. Instead of guessing or relying on outdated spreadsheets, you get precise, actionable data that directly impacts your in-game performance and resource efficiency. Here are the five key benefits that make this tool indispensable for any serious trainer.

  • Optimize Stardust and Candy Investment: Purification costs can vary dramatically—from 1000 Stardust for a low-level Pokemon to 5000 for a high-level one. The calculator shows you the exact cost before you commit, preventing accidental overspending. For example, purifying a level 30 Shadow Pokemon costs 5000 Stardust and 5 Candy, which could otherwise power up a raid counter by multiple levels. This benefit is crucial for F2P players who need to stretch every resource.
  • Identify Hidden Perfect IV Candidates: Many trainers overlook Shadow Pokemon with IVs like 13/13/13 because they don't seem exceptional. The calculator reveals that purifying these yields a 15/15/15 (Hundo), which is a trophy Pokemon and often a top-tier PvP or raid performer. Without the calculator, you might transfer a future perfect Pokemon without realizing its potential.
  • Compare Shadow vs. Purified Performance: The tool provides a side-by-side CP comparison, but more importantly, it lets you mentally factor in the 20% Shadow attack bonus. A Shadow with 1200 CP and 0/0/0 IVs often out-damages a purified 1500 CP with 15/15/15 IVs in raids. The calculator helps you make this nuanced decision by showing the exact purified CP, so you can weigh the trade-off with concrete numbers.
  • Plan for PvP Leagues with Precision: Great League (1500 CP cap) and Ultra League (2500 CP cap) require exact CP management. The calculator shows you the purified CP, allowing you to determine if a Shadow Pokemon will stay under the league cap after purification. For instance, a Shadow Sableye with 1499 CP might exceed 1500 after purification, making it illegal for Great League. The tool prevents this costly mistake.
  • Save Time with Instant Calculations: Manually calculating CP using the formula involves square roots and multiplication with decimal multipliers, which is error-prone and slow. The calculator does it in under a second, allowing you to appraise dozens of Shadow Pokemon from a Rocket Grind session in minutes. This efficiency is especially valuable during events like "Team Rocket Takeover" where you catch many Shadows quickly.

Tips and Tricks for Best Results

To get the most out of your Pokemon Go Purify Calculator, you need to combine accurate data entry with game knowledge. These expert tips will help you avoid common pitfalls and make smarter purification decisions that align with your playstyle, whether you are a raider, PvP enthusiast, or collector.

Pro Tips

  • Always appraise your Shadow Pokemon using a third-party tool before entering IVs. The in-game appraisal gives a range (e.g., "Attack is the best stat"), but you need exact numbers (0-15) for the calculator to be accurate. Tools like PokeGenie or Calcy IV can read the screen overlay to give precise IVs.
  • For PvP-focused purification, prioritize Pokemon that benefit from the +2 IV boost to reach specific breakpoints or bulkpoints. For example, purifying a Shadow Bastiodon with 12/12/12 IVs gives you a 14/14/14, which might allow it to survive one extra fast move from Azumarill in Great League.
  • If you are a raider, generally keep high-attack Shadow Pokemon (like Mewtwo, Machamp, or Tyranitar) unpurified because the 20% Shadow damage boost outweighs the IV gain. Only purify if the Shadow has very low IVs (e.g., below 5/5/5) and you need a budget raid counter.
  • Use the calculator to check "purification projects" during Stardust events. For example, during a 2x Stardust event, purifying a level 30 Shadow Pokemon costs the same Stardust but you earn double the dust from catches, making it a good time to convert high-level Shadows into usable Pokemon.

Common Mistakes to Avoid

  • Mistake 1: Entering the wrong Pokemon species. Base stats vary wildly between species. Entering "Machop" instead of "Machamp" will give you completely wrong CP results. Always double-check the name in the dropdown matches the Pokemon in your inventory.
  • Mistake 2: Ignoring the Shadow attack bonus. Many trainers see a big CP increase from purification and assume it's always better. Remember that Shadow Pokemon deal 20% more damage with fast and charged moves. A Shadow with 1000 CP often out-damages a purified 1300 CP Pokemon in raids. Use the calculator to see the CP, but factor in the damage boost separately.
  • Mistake 3: Purifying for IVs alone without checking league caps. A Shadow Pokemon with 1498 CP and 15/15/15 IVs might become a 1502 CP purified Pokemon, making it ineligible for Great League. Always simulate the purified CP against your target league's CP cap before purifying. The calculator shows you the exact number.

Conclusion

The Pokemon Go Purify Calculator is an essential tool for any trainer who wants to make informed decisions about their Shadow Pokemon collection. By accurately computing the post-purification CP, IVs, and resource costs, it eliminates guesswork and helps you avoid wasting precious Stardust and Candy on suboptimal choices. Whether you are chasing a perfect Hundo for Master League, optimizing a budget raid team, or fine-tuning a Great League contender, this calculator gives you the data you need to purify with confidence.

Stop relying on manual calculations or outdated online tables. Use our free Pokemon Go

Frequently Asked Questions

A Pokemon Go Purify Calculator is a tool that predicts the exact IV (Individual Value) stats of a Shadow Pokemon after purification. It specifically measures the Attack, Defense, and HP IVs, each on a scale of 0-15, and then adds +2 to each stat when calculating the purified result. For example, a Shadow Pokemon with 13/11/12 IVs will become 15/13/14 after purification.

The formula takes the current Shadow Pokemon's base stats and adds +2 to each of the three IV values (Attack, Defense, Stamina), capping at 15. The new CP is then recalculated using the standard CP formula: (Attack * Defense^0.5 * Stamina^0.5 * CP_Multiplier^2) / 10, where the Attack stat includes the base attack plus the purified IV. This means a Shadow with 15/15/14 IVs becomes a perfect 15/15/15 (hundo) after purification.

For a Purify Calculator, "normal" pre-purification IVs typically range from 0 to 15 per stat, with most wild Shadow Pokemon falling between 0-10. A "good" result is when the calculator shows pre-purification IVs of 13/13/13 or higher, as this guarantees a perfect 15/15/15 purified Pokemon. A "great" result is any combination that yields a purified IV total of 42 or higher out of 45 (e.g., 14/14/14).

A properly coded Purify Calculator is 100% accurate for predicting IVs, as the purification mechanic in Pokemon Go is deterministic—it always adds exactly +2 to each IV, capped at 15. However, accuracy depends on the user correctly inputting the Shadow Pokemon's current CP, HP, and power-up level. If the level is off by even 0.5, the calculator may show incorrect IV ranges. For example, entering a level 20 Shadow instead of level 25 can shift the IV prediction by 3-4 points.

A key limitation is that the calculator cannot accurately predict pre-purification IVs for a Pokemon that has already been purified and powered up, because the +2 IV boost is already applied and the original Shadow stats are lost. Additionally, the calculator cannot account for the 20% damage boost that Shadow Pokemon lose upon purification, which is a separate strategic factor. For example, a 15/15/15 purified Mewtwo will have lower DPS than a 0/0/0 Shadow Mewtwo due to the lost Shadow bonus.

A dedicated Purify Calculator is more specialized than general IV scanners because it automatically applies the +2 IV boost and shows the exact purified CP and IVs in one step. While Calcy IV or PokeGenie can also calculate pre-purification IVs, they require manual interpretation of the Shadow bonus. For example, a Purify Calculator will instantly tell you that a 10/10/10 Shadow becomes a 12/12/12 purified, whereas a general scanner only shows the current IVs and requires you to mentally add +2 to each.

A common misconception is that Purify Calculators are only for PvP players chasing perfect IVs for Great or Ultra League. In reality, they are equally valuable for PvE raiders because purification reduces the Stardust and Candy cost to power up a Pokemon by 10% and 10% respectively. For example, a Purify Calculator can show that a Shadow Machamp with 15/14/13 IVs will cost 20,000 fewer Stardust to max out after purification, making it a budget-friendly option for raid attackers.

A practical application: You catch a Shadow Beldum with CP 412 and HP 48 at level 8. Using a Purify Calculator, you input its stats and find its pre-purification IVs are 14/11/13. The calculator shows that after purification, it becomes a 15/13/15 Metagross with CP 421 and costs only 100,000 Stardust to max out (instead of 110,000). This tells you it's a strong candidate for purification because it becomes a near-perfect hundo for Master League, saving resources while retaining high IVs.

Last updated: June 21, 2026 · Bookmark this page for quick access

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