def find_all_div_sums(limit):
'''
Finds all divider sums under limit
Returns dict with num -> sum_divisors(num)
TODO(SaveTheRbtz@): Can be computed using multiprocessing
'''
index = {}
for num in xrange(1, limit):
index[num] = sum_divisors(num)
return index
def is_abundant(num):
'''
Fast decetction of abundant number
'''
return num < sum_divisors(num)
