maths.aliquot_sum

Functions

aliquot_sum(→ int)

Finds the aliquot sum of an input integer, where the

Module Contents

maths.aliquot_sum.aliquot_sum(input_num: int) → int

Finds the aliquot sum of an input integer, where the aliquot sum of a number n is defined as the sum of all natural numbers less than n that divide n evenly. For example, the aliquot sum of 15 is 1 + 3 + 5 = 9. This is a simple O(n) implementation. @param input_num: a positive integer whose aliquot sum is to be found @return: the aliquot sum of input_num, if input_num is positive. Otherwise, raise a ValueError Wikipedia Explanation: https://en.wikipedia.org/wiki/Aliquot_sum

>>> aliquot_sum(15)
9
>>> aliquot_sum(6)
6
>>> aliquot_sum(-1)
Traceback (most recent call last):
  ...
ValueError: Input must be positive
>>> aliquot_sum(0)
Traceback (most recent call last):
  ...
ValueError: Input must be positive
>>> aliquot_sum(1.6)
Traceback (most recent call last):
  ...
ValueError: Input must be an integer
>>> aliquot_sum(12)
16
>>> aliquot_sum(1)
0
>>> aliquot_sum(19)
1