RNGdle

GuideFactorials

Factorial Numbers

A factorial number is a value of n! = 1×2×…×n for an integer n ≥ 0 (with the convention 0! = 1). Factorials grow so fast that only a short list appears below one million.

9 values in 0–1,000,000

Formula

n! = ∏_{k=1}^{n} k, and 0! = 1.

How to check

Match against the finite table 1, 2, 6, 24, 120, 720, 5040, 40320, 362880 — or repeatedly divide by 2, 3, 4… and see if you reach exactly 1.

Example

720

720 = 6! because 1×2×3×4×5×6 = 720. 721 is not on the factorial table, so it does not count.

Look up EP for this number in the calculator.

In RNGdle

Landing on a factorial is extremely uncommon in RNGdle’s range. The Factorial badge is one of the highest single-pattern EP awards in the engine.

  • Factorial — A factorial number (n!). (+11,111,122 EP)

Full list in range

126241207205,04040,320362,880

FAQ

What are factorial numbers?
Factorial numbers are values of n! for whole numbers n — for example 5! = 120 and 6! = 720.
Which factorials appear in RNGdle?
1, 2, 6, 24, 120, 720, 5040, 40320, and 362880 (0!/1! through 9!). 10! already exceeds 1,000,000.
Does RNGdle award a Factorial badge?
Yes. Any factorial in range unlocks the Factorial badge at a very high EP value.