Let be a nonnegative integer. The factorial of , denoted , and read as n factorial, is defined as the product of all the natural numbers from to . Note that is defined as .
is also the order of the symmetric group, or the group of all permutations, on a set of size .
Initial valuesThe initial values of for are given as: 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, [SHOW MORE] View list on OEIS
- lcm of all numbers so far: This is the exponential of the second Chebyshev function and also equals the exponent of the symmetric group of degree .
- Maximum product over additive partitions
- Landau's function is the maximum lcm over additive partitions.
- Primorial is the product of the first few primes.