Arknights Calculator

Gacha Planner, Resource Converter & Pity Tracker

Resource Source	Quantity	Equivalent Orundum	Equivalent Pulls
Orundum	0	0	0.00
Originium Prime	0	0	0.00
Tickets (Single & 10x)	0	0	0.00

Breakdown of your current resources converted into pulling power.

What is an Arknights Calculator?

An Arknights calculator is an essential utility for players of the popular tower defense mobile game, Arknights. It allows Doctors (players) to plan their resource management effectively by converting various in-game currencies—such as Orundum, Originium Prime, and Headhunting Permits—into a unified metric: Total Pulls.

Managing gacha resources is critical in Arknights. Whether you are saving for a limited banner like the Chinese New Year event or aiming for a specific standard operator, knowing exactly how many attempts you have is vital. This tool helps you visualize your probability of obtaining a 6-star operator based on the game’s specific pity mechanics, helping you make informed decisions about whether to pull now or save for later.

Common Misconception: Many players believe that 50 pulls guarantee a 6-star operator. In reality, 50 is merely the “soft pity” threshold where the probability begins to ramp up, not a guarantee.

Arknights Gacha Formula and Probability Explanation

The Arknights gacha system uses a unique “pity” mechanic that increases the drop rate of high-rarity operators over time. Understanding this mathematical model is key to using the Arknights calculator effectively.

Standard Banner Rules

The base probability for pulling a 6-star operator is 2%. This rate remains constant for the first 50 pulls without a 6-star.

Soft Pity (50+ Pulls): If you do not obtain a 6-star operator within 50 pulls, the rate increases by 2% for every subsequent pull. For example:

• Pull 51: 4% chance
• Pull 52: 6% chance
• Pull 60: 22% chance
• Pull 99: 100% chance (Hard Pity)

Variables Table

Variable	Meaning	Conversion Rate	Typical Range
Orundum	Standard Gacha Currency	600 = 1 Pull	0 – 100,000+
Originium Prime (OP)	Premium Currency	1 = 180 Orundum	0 – 500+
Headhunting Permit	Single Pull Ticket	1 = 1 Pull	0 – 50+
Pity Counter	Pulls since last 6★	N/A	0 – 99

Practical Examples (Real-World Use Cases)

Example 1: The F2P Saver

Scenario: A player has been saving for months for a limited banner. They have:

• 36,000 Orundum
• 15 Originium Prime
• 2 Ten-roll Permits
• Current Pity: 10

Calculation:

• Orundum Pulls: 36,000 / 600 = 60 Pulls
• OP Pulls: (15 * 180) / 600 = 4.5 (4 Pulls)
• Ticket Pulls: 2 * 10 = 20 Pulls
• Total Pulls: 84 Pulls

Result: Starting at pity 10, adding 84 pulls takes them to effectively 94 pulls. The probability of getting at least one 6-star is statistically over 99% due to hitting the soft pity ramp-up twice if necessary.

Example 2: The “Just a Few Pulls” Gambler

Scenario: A player wants to try their luck with leftover scraps.

• 1,200 Orundum
• 0 OP
• 3 Single Permits
• Current Pity: 45

Calculation: Total of 5 pulls (2 from Orundum + 3 Tickets). Total Pity reaches 50.

Result: They will reach the threshold of soft pity (50) but will not trigger the increased rates yet. Their chance of success is simply the base cumulative probability of 5 pulls at 2%, which is roughly 9.6%. A risky investment!

How to Use This Arknights Calculator

1. Enter Resources: Input your current Orundum, Originium Prime, and ticket counts into the respective fields.
2. Set Pity: Check your in-game history to see how many pulls you have made since your last 6-star operator. Enter this in the “Current Pity Counter”.
3. Review Totals: Look at the “Total Pulls Available” to see your raw pulling power.
4. Analyze Probability: Check the “6★ Probability” to see your statistical chance of getting a high-rarity operator with your current stash.
5. Visualize: Use the chart to understand which resource (Orundum vs. OP) contributes most to your savings.

Key Factors That Affect Arknights Calculator Results

When planning your pulls using an arknights calculator, consider these six financial and mechanical factors:

• Standard vs. Limited Banners: Limited banners (like Anniversary events) often have different hard pity mechanics (usually 300 pulls for a guarantee via store exchange), which this calculator does not track directly but you must account for.
• Pity Carry-Over: Standard banner pity carries over to the next standard banner. Limited banner pity does not carry over. Ensure you are calculating for the correct banner type.
• Originium Prime usage: OP is a finite resource for F2P players, often used for buying skins. Converting OP to Orundum is irreversible.
• Yellow Certificate Store: Pulling generates “Distinctions” (Yellow Certs). Collecting 180 allows you to buy a specific 6-star or 258 allows you to buy 38 pulls. This “cash back” system affects long-term value.
• RNG Variance: Probability is not a guarantee. Even with a 90% calculated probability, a 10% failure rate is statistically significant. Always plan for the worst-case scenario.
• Monthly Income: This calculator is static. Remember to factor in future income from Annihilation (1,800 Orundum/week) and Daily/Weekly missions when planning for a banner months away.

Frequently Asked Questions (FAQ)

Does pity carry over between banners?

Yes, for Standard Banners. If you pull 40 times on a Standard Banner without a 6-star, those 40 pulls count towards the next Standard Banner. However, Limited Banner pity is separate and resets after the event.

How many Orundum do I need for 300 pulls?

You need 180,000 Orundum for 300 pulls. This is the “Spark” threshold for limited banners to buy the operator directly from the shop.

Is it worth converting Originium Prime to Orundum?

Generally, yes, if you are strictly F2P and prioritize operators over skins. However, skins cost OP and cannot be bought with Orundum, so reserve some if you care about cosmetics.

What is the “Soft Pity” in Arknights?

Soft pity begins at pull 51. The 6-star rate increases from 2% to 4%, then 6%, adding 2% per pull until it reaches 100% at pull 99.

Does this calculator work for the “Kernel” banner?

Kernel banners share their own separate pity pool but follow the same mathematical rules (2% base, +2% after 50). You can use this calculator, but ensure you track Kernel pity separately from Standard pity.

How accurate is the probability percentage?

The probability is calculated using the cumulative distribution function based on the variable drop rates. It is statistically accurate but represents an average outcome over many simulations.

What happens if I get a 6-star before pity?

The pity counter resets to 0 immediately. Any pulls made after that start counting towards the next pity threshold.

Can I calculate pulls for future months?

This calculator uses your current resources. To estimate future pulls, add your expected future income (e.g., +7,200 Orundum per month from Annihilation) to the input field manually.

Related Tools and Internal Resources

Enhance your Arknights strategy with these related tools:

• Arknights Leveling Calculator – Calculate EXP and LMD needed to max your operators.
• Sanity Pot Calculator – Optimize your daily sanity usage and efficiency.
• Material Farming Guide – Find the best stages to farm rocks, devices, and loxic kohl.
• Recruitment Tag Calculator – Filter tags to guarantee 4, 5, or 6-star operators.
• Base Skill Database – Optimize your factory and trading post efficiency.
• Operator Tier List – Decide which operators are worth your calculated pulls.