# Prints the sum of divisors of the integers 1 - 10.
# Initial version with naive algorithm.

import math   # for sqrt
import time

# returns the sum of the proper divisors of n
def sum_divisors(n):
    return sum((k for k in range(1, n) if n % k == 0))

def main():
    for i in range(1, 11):
        print("sum of divisors of", i, "=", sum_divisors(i))

main()