A program that factorizes a number into its primes, including its powers.
A program that gives the sum of the factors of a number. For information on the trick used, read this math explanation: https://planetmath.org/formulaforsumofdivisors
A program that returns the number of factors a number has. It calculates it by adding 1 to the power of the prime factors. and multiplying them.
A program that returns the product of the factors of a number. It uses the formula F^(n/2) where F is the original number and n is the number of factors of that number.