Arknight Calculator

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Arknight Calculator – Orundum & Pull Planning Tool


Arknight Calculator

Premium Pull Planner & Resource Forecasting Tool


Enter your currently saved Orundum amount.
Please enter a non-negative number.


Amount of Originium Prime in your inventory.


Single headhunting tickets.


Number of ten-roll headhunting permits.


How many days from now until the banner you want?


Includes daily 200 Orundum + 6 OP per purchase.



Total Pulls Available

0

Total Orundum
0
Weekly Gain
0
OP Value (Pulls)
0
Ticket Pulls
0

Resource Growth Projection

Visualization of Orundum (Blue) vs Pull Equivalents (Green)


Arknight Resource Generation Breakdown
Source Daily Rate Weekly Rate Total (Forecast)

Mastering the Arknight Calculator for Perfect Gacha Planning

For players of the popular tower defense mobile game, resource management is the thin line between getting a limited operator and missing out. An arknight calculator is an essential tool for Doctors who want to quantify their saving potential. Whether you are eyeing a limited banner like “Festival” or a standard “Joint Operation,” knowing exactly how many pulls you will have by the end of a timeframe is crucial for strategy.

What is an Arknight Calculator?

An arknight calculator is a specialized utility designed to track and forecast premium currency (Orundum and Originium Prime) and summoning tickets (Headhunting Permits). Unlike generic financial tools, this calculator accounts for the specific regeneration rates found in the game, such as Daily Missions, Weekly Annihilation, and the Monthly Card bonus.

Who should use it? Every Doctor, from Free-to-Play (F2P) enthusiasts to “Dolphin” spenders, can benefit. A common misconception is that pull income is random; in reality, Arknights has one of the most predictable resource income streams in the gacha genre, making an arknight calculator highly accurate for long-term planning.

Arknight Calculator Formula and Mathematical Explanation

The math behind an arknight calculator relies on additive linear growth. We calculate the income from multiple streams and convert them into a single metric: The Pull Equivalent.

The fundamental formula used by this arknight calculator is:

Total Pulls = (Current Orundum + (Days * DailyRate) + (Weeks * WeeklyRate) + (OP * 180)) / 600 + (Single Tickets) + (10x Tickets * 10)

Variables Explanation Table

Variable Meaning Unit Typical Range
DailyRate Missions + Monthly Card Orundum 100 – 300
WeeklyRate Weekly Missions + Annihilation Orundum 2000 – 2300
OP Conversion Originium Prime to Orundum Ratio 1:180
Pull Cost Cost of one headhunting attempt Orundum 600

Practical Examples (Real-World Use Cases)

Example 1: The F2P Saver
A player has 12,000 Orundum, 20 OP, and 5 tickets. They want to know their status for a banner in 60 days. Using the arknight calculator, we see they will gain 6,000 from dailies and roughly 18,400 from Annihilation (at 2,300/week). Total pulls: ~72. This tells the player they are safe for a soft pity but might need luck for the guarantee.

Example 2: Monthly Card Optimization
A player activates a Monthly Card 30 days before an event. The arknight calculator factors in the extra 6,000 Orundum (200 * 30) plus the 6 OP from the purchase. This often bridges the gap between a 50/50 chance and a guaranteed 6-star operator.

How to Use This Arknight Calculator

  1. Enter Inventory: Fill in your current Orundum, OP, and Tickets.
  2. Set Timeline: Input the number of days until the banner ends.
  3. Toggle Bonuses: Select if you have the Monthly Card active.
  4. Analyze Results: Look at the “Total Pulls” highlighted at the top.
  5. Review Breakdown: Check the table below to see which source provides the most value.

Key Factors That Affect Arknight Calculator Results

  • Annihilation Progress: Maxing out your weekly Annihilation to 1800 is the single most important F2P factor.
  • Monthly Card Value: The Monthly Card provides a massive 200% ROI compared to buying raw OP.
  • Originium Prime Usage: Most players recommend using OP for skins or level-up packs rather than direct pulls unless necessary.
  • Event Rewards: This arknight calculator uses baseline income; actual results may be higher due to event-specific login rewards.
  • Maintenance Compensation: Typically, each patch provides 200-600 Orundum, which adds a slight buffer.
  • Yellow Certificate Shop: Converting certificates into tickets can add up to 38 pulls per month, though this is hard to predict mathematically without knowing your pull frequency.

Frequently Asked Questions (FAQ)

How accurate is this arknight calculator?
It is mathematically exact based on the daily/weekly reset cycle of the global and CN servers.
Does it include Orundum from the Base (Trading Post)?
No, because Orundum production in the base is usually inefficient and not recommended for most players.
Should I spend OP on pulls?
Generally, no. This arknight calculator shows you the value if you *did*, but OP is better spent on skins or the Pro Enhancement Packs.
Does the monthly card include the 6 OP?
Yes, our calculation logic adds the 6 OP value (1080 Orundum) if the card is active over a 30-day period.
What is ‘Pity’ in Arknights?
Standard banners increase the 6-star rate by 2% for every pull after 50 pulls without a 6-star.
Can I calculate for the CN server?
Yes, the income rates are identical across all global versions and the CN version.
How many pulls for a guaranteed limited operator?
Typically, 300 pulls are required to “spark” (buy) a limited operator from the shop.
Is recruitment included in the arknight calculator?
Recruitment provides “distinction certificates” which lead to pulls, but it is not a direct source of Orundum.

Related Tools and Internal Resources

© 2023 Arknight Resource Planner. All rights reserved. Optimized for Arknights Global, EN, JP, and KR.


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Arknight Calculator

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Arknights Calculator: Pulls, Probability & Resource Converter


Arknights Calculator

Optimize your Gacha Resources, Calculate Pulls & Estimate Probabilities


Standard red currency used for headhunting (600 per pull).
Please enter a valid non-negative number.


Premium yellow currency. 1 OP = 180 Orundum.
Please enter a valid non-negative number.


Single or Ten-roll tickets (count 10-roll as 10).
Please enter a valid non-negative number.


Number of pulls since last 6-star operator (0-99).
Value must be between 0 and 99.

Total Pulls Available
0

Total Orundum Value
0

Prob. of Any 6-Star
0%

Prob. of Rate-Up (50%)
0%

Calculation Logic: Total Pulls = (Orundum / 600) + ((OP × 180) / 600) + Permits. Probabilities use the cumulative binomial distribution adjusted for the ramping pity system (base 2%, +2% per pull after 50).

Cumulative Probability Curve

— Any 6-Star   
— Rate-Up 6-Star

Resource Breakdown Table


Resource Source Quantity Orundum Equivalent Pulls Contribution

What is an Arknights Calculator?

An Arknights calculator is an essential utility tool for players of the popular tower defense mobile game, Arknights. It is primarily designed to help Doctors (players) manage their gacha resources—Orundum, Originite Prime, and Headhunting Permits—to estimate their chances of obtaining specific Operators.

Given the game’s pity system and resource scarcity, using an Arknights calculator helps in strategic planning. Whether you are saving for a limited banner like the Chinese New Year event or a collaboration banner, knowing exactly how many pulls you can amass is crucial for F2P (Free-to-Play) and paying players alike.

Common misconceptions include thinking that 6000 Orundum guarantees a 6-star, or that the pity system resets on every banner type in the same way. This tool clarifies the mathematics behind your stash.

Arknights Calculator Formula and Mathematical Explanation

The core function of this calculator is to convert various currency types into a single metric: Total Pulls. Additionally, it calculates probabilities based on the game’s specific “Ramping Pity” mechanic.

Resource Conversion Formula

The base unit for the gacha system is Orundum. The conversion rates are standardized:

  • 1 Pull = 600 Orundum
  • 1 Originite Prime (OP) = 180 Orundum
  • 1 Headhunting Permit = 1 Pull (Value equivalent to 600 Orundum)

The formula for Total Pulls ($T_p$) is:

T_p = floor(Orundum / 600) + floor((OP × 180) / 600) + Permits

The Pity System Mathematics

Arknights uses a unique probability curve. The base rate for a 6-star operator is 2%. This rate remains constant from pull 0 to 50. Starting at pull 51, the rate increases by 2% for every subsequent pull without a 6-star.

Variable Meaning Unit Typical Range
Pulls ($n$) Number of attempts Integer 0 – 300+
Base Rate ($P_{base}$) Standard probability Percentage 2%
Pity Threshold Start of rate increase Count 50 pulls
Ramp Rate Increase per pull > 50 Percentage +2% per pull

Practical Examples (Real-World Use Cases)

Example 1: The F2P Saver

A player has been saving for months. Their inventory contains:

  • 34,500 Orundum
  • 12 Originite Prime
  • 2 Ten-roll Permits (20 pulls)
  • Current Pity: 10

Calculation:

  1. Orundum Pulls: $34,500 / 600 = 57.5$ (57 pulls)
  2. OP to Orundum: $12 \times 180 = 2,160$. Pulls: $2,160 / 600 = 3.6$ (3 pulls)
  3. Permits: 20 pulls
  4. Total Pulls: $57 + 3 + 20 = 80$ pulls.

With a starting pity of 10, they will reach 90 pity total. This virtually guarantees at least one 6-star operator, as the rate reaches 100% at pull 99.

Example 2: The “Spark” Target

A player wants to “spark” (buy from store) a limited operator, requiring 300 pulls. They have:

  • 120,000 Orundum
  • 0 OP
  • 50 Permits

Calculation:

  1. Orundum Pulls: $120,000 / 600 = 200$ pulls.
  2. Permits: 50 pulls.
  3. Total: 250 pulls.

Result: They are 50 pulls short of the spark (300). They need to farm approximately 30,000 more Orundum.

How to Use This Arknights Calculator

  1. Enter Current Orundum: Input the exact amount of red Orundum you currently hold.
  2. Enter Originite Prime: Input your yellow premium currency count. Note: Only include OP you are willing to convert, as OP is also used for skins.
  3. Enter Permits: Count your single tickets and multiply 10-roll tickets by 10.
  4. Set Pity Counter: Check your in-game Standard Headhunting history. Count how many pulls it has been since your last 6-star. Enter that number.
  5. Analyze Results: Look at the “Prob. of Any 6-Star” to see your likelihood of success. Check the chart to see how your odds improve with more pulls.

Key Factors That Affect Arknights Calculator Results

When using an Arknights calculator, consider these external factors that influence your actual in-game economy:

  1. Standard vs. Limited Banners: Limited banners use a separate pity counter that does not carry over to the next limited banner (though the spark count converts to materials). Standard banner pity carries over between Standard banners.
  2. The “50/50” Chance: Even if you pull a 6-star, there is usually only a 50% chance it is the rate-up operator on a standard banner (35% on limited banners with two rate-ups).
  3. Annihilation Weekly Cap: Your primary source of Orundum is Annihilation. Ensure you clear your weekly cap (usually 1800 Orundum) to maximize your monthly income.
  4. Monthly Card: The monthly card provides 200 Orundum daily and 6 OP upon purchase, significantly changing your monthly pull income compared to F2P.
  5. Event Rewards: Events provide first-clear OP rewards. A major event can yield 20-30 OP, which equals roughly 6-9 extra pulls.
  6. Store Certs (Green/Yellow): You can buy headhunting permits using Commendations (Green Certs) and Distinctions (Yellow Certs). Factor these potential purchases into your “Permits” input.

Frequently Asked Questions (FAQ)

Does pity carry over in Arknights?
Yes, for Standard Banners, the pity count carries over to the next Standard Banner. However, Limited Banner pity pools are separate and reset after the event ends (converting to parametric models).

What is the “Soft Pity” in Arknights?
Soft pity begins at pull 51. From this point, the 6-star rate increases by 2% per pull. By pull 99, the rate is 100%, guaranteeing a 6-star.

How accurate is this Arknights calculator?
The calculator uses exact mathematical formulas for resource conversion and the official probability curves published by Yostar/Hypergryph.

Should I convert Originite Prime to Orundum?
Generally, F2P players should save OP for skins or level packs (if available). Converting OP to Orundum is usually a last resort for reaching a spark.

What is a “Spark”?
On Limited banners, if you pull 300 times, you can exchange the accumulated currency for a specific rate-up 6-star operator from the store.

How much Orundum do I need for 300 pulls?
You need 180,000 Orundum for 300 pulls (assuming no tickets or OP are used).

Does this calculator work for the CN server?
Yes, the gacha mechanics are identical across CN, EN, JP, and KR servers.

What is the probability of a specific 5-star?
This calculator focuses on 6-stars. Specific 5-stars are harder to calculate due to the diluted pool, though they have a guaranteed 5-star or higher within the first 10 pulls of a new banner.

Related Tools and Internal Resources

Enhance your gameplay with these related tools:

© 2023 Arknights Strategy Tools. All rights reserved.

This tool is not affiliated with Yostar or Hypergryph.


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