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The Programming Project: Amicable numbers : Problem 21 Euler Project

Saturday, August 30, 2014

Amicable numbers : Problem 21 Euler Project

Amicable numbers : Problem 21

Let d(n) be defined as the sum of proper divisors of n (numbers less than n which divide evenly into n).
If d(a) = b and d(b) = a, where ab, then a and b are an amicable pair and each of a and b are called amicable numbers.
For example, the proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110; therefore d(220) = 284. The proper divisors of 284 are 1, 2, 4, 71 and 142; so d(284) = 220.
Evaluate the sum of all the amicable numbers under 10000.

Problem Source : Euler Project

Python Code

def amicableNumber():
    totalSum = 0
    def sumOfDivisors(numb):
        sumD = 0
        for d in range(numb/2):
            d = d+1
            if numb%d ==0:
                sumD = sumD + d
        return sumD
    for i in range(10000-1):
        i = i+1
        if i == sumOfDivisors(i):
            continue
        if i == sumOfDivisors(sumOfDivisors(i)):
            print i
            totalSum = totalSum + i   
    print "Evaluate the sum of all the amicable numbers under 10000:",totalSum
amicableNumber()               

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