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Number Pattern Finder

Find the rule behind a sequence: arithmetic, geometric, quadratic, cubic, Fibonacci, powers, triangular, factorial, primes or a linear recurrence, with the difference table and the next terms.

Related tools

All Numbers & arithmetic tools →
Amicable Number CheckerCheck whether two numbers are amicable — or give just one and get its candidate partner plus the verified loop, with perfect and sociable numbers identified.e Digits Calculator (Euler's Number)Compute up to 1,000 decimals of Euler's number e from the series Σ 1/k!, with digit frequencies, a digit search and the 1828 1828 trap explained.Number of Digits CalculatorCount the digits of any integer in any base from 2 to 36, with the digit sum, product, first and last digit, and palindrome and repdigit flags.Prime number checkerCheck whether a number is prime and find its smallest divisor.Complex Number CalculatorAdd, subtract, multiply and divide complex numbers, with modulus, argument, conjugate and polar form.Fibonacci Number CheckerTest any number up to 60 digits with the exact 5n^2 +/- 4 identity, with its index, its neighbours in the sequence and the ratio compared with the golden ratio.Five Number Summary CalculatorGet the minimum, quartiles and maximum of a dataset with the IQR, the outlier fences and a box plot, in three quartile conventions.Perfect Number CheckerTest whether a number is perfect, abundant or deficient from the sum of its proper divisors, with the Euclid-Euler theorem explained.

Number Pattern Finder is free to use as often as you like, directly from this page. Its place is under Numbers & arithmetic; Amicable Number Checker and e Digits Calculator (Euler's Number) answer the questions closest to this one.

How to use it

  1. Open the tool — no signup or install needed.
  2. Enter your input or adjust the available options.
  3. Get your result instantly, then copy or download it.

Frequently asked questions

What does Number Pattern Finder do?

Find the rule behind a sequence: arithmetic, geometric, quadratic, cubic, Fibonacci, powers, triangular, factorial, primes or a linear recurrence, with the difference table and the next terms.

When would I actually use this?

Reading a number written another way: a Roman numeral on a monument, a hexadecimal colour, a binary byte, or a fraction that needs reducing.

What is the most common mistake?

Assuming a decimal fraction survives a change of base. A tenth is exact in decimal and infinitely repeating in binary, which is why 0.1 + 0.2 is not 0.3 in most programming languages.

How is Number Pattern Finder different from Amicable Number Checker?

They sit next to each other but answer different questions. Amicable Number Checker: check whether two numbers are amicable — or give just one and get its candidate partner plus the verified loop, with perfect and sociable numbers identified. Pick whichever matches what you're starting from — both are free.

Is there a tool for the next step?

e Digits Calculator (Euler's Number) is the closest one after this: Compute up to 1,000 decimals of Euler's number e from the series Σ 1/k!, with digit frequencies, a digit search and the 1828 1828 trap explained.

What else is worth having open alongside it?

Number of Digits Calculator and Prime number checker — they come up in the same task often enough to be worth a second tab.

Where do the figures come from?

Base conversion and number-theory results are exact. Roman numerals follow the standard subtractive form used since the Middle Ages, which is not the only one the Romans themselves used.

Further reading

All guides →
ExplainerThe Advertised Rate Describes Almost None of What HappensWith a 0.6 % base rate, a soft pity at 74 and a hard pity at 90, the effective chance climbs from 0.6 % to 36.6 % by pull 80 and 90.6 % by pull 89. Without pity, ninety pulls would give 41.8 %.How-toHow to Round Numbers: Round Half Up, Round Half to Even, and MoreRound to any decimal place or number of significant figures, and learn when to use round half up versus round half to even to avoid bias.ExplainerSignificant Figures Explained: Counting, Rounding, and Why They MatterLearn what counts as a significant figure, the rules for leading, trailing, and captive zeros, and how sig figs keep your calculated answers honest.How-toHow to Find Prime Factors: Factor Trees and the Division MethodBreak any whole number into its prime building blocks with a factor tree or repeated division — and write the result as a clean prime factorization with exponents.How-toHow to Multiply and Divide Fractions: Multiply Across, Flip to DivideMultiplying fractions needs no common denominator — just multiply across. Dividing means multiplying by the reciprocal. Learn both with worked examples and how to simplify.How-toHow to Add and Subtract Fractions: Common Denominator, Combine, SimplifyYou can only add or subtract fractions that share a denominator. Learn to find a common denominator, combine the numerators, and simplify the result, with a worked example.