Sum of divisors

Number 6 has divisors 1,2,3,6. Number 6 being of course a divisor of itself, if we exclude this, numbers 1,2 and 3 are named "proper divisors" of 6 (or "aliquot parts").
Their sum is 1+2+3=6. This number is named a "perfect number", equal to sum of its proper divisors.

Conversely, we might want to find a number, given the sum of its divisors.

Methods and proofs

Scripts :
 - sum of divisors

 

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