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 a ≠ b, 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.
public class Problem21 { public static void main(String[] args) { int sum = 0; for (int i = 1; i < 10000; i++) { int d = d(i); if((d(d) == i && i != d)){ sum += i; System.out.println(i); } } System.out.println(sum); } public static int d (int number){ int sum = 0; for (int i = 1; i < number; i++) { if (number%i==0) { sum += i; } } return sum; } }
Lösung: 31626