def sum_divisors(n):
    factors = []
    for i in range(1, n):
        if n % i == 0:
            factors.append(i)
    factorSum = 0
    for i in factors:
        factorSum += i
    return factorSum

limit = 10000
amicablePairs = []
amicableSum = 0

for i in range(limit):
    if (i in amicablePairs) == False:
        sum = sum_divisors(i)
        pairCheck = sum_divisors(sum)
        if pairCheck == i and sum != i:
            amicablePairs.append(i)
            amicablePairs.append(sum)

for i in amicablePairs:
    amicableSum += i

print("The sum of all the amicable numbers under " + str(limit) + " is: " + str(amicableSum))