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package Maths; /** * Amicable numbers are two different numbers so related that the sum of the proper divisors of each * is equal to the other number. (A proper divisor of a number is a positive factor of that number * other than the number itself. For example, the proper divisors of 6 are 1, 2, and 3.) A pair of * amicable numbers constitutes an aliquot sequence of period 2. It is unknown if there are * infinitely many pairs of amicable numbers. * * *

* link: https://en.wikipedia.org/wiki/Amicable_numbers * * *

Simple Example : (220,284) 220 is divisible by {1,2,4,5,10,11,20,22,44,55,110 } 1,2,4,71,142 and the Sum of that is. Yes right you probably expected it * 220 */ public class AmicableNumber { public static void main(String[] args) { AmicableNumber.findAllInRange(1, 3000); /* Res -> Int Range of 1 till 3000there are 3Amicable_numbers These are 1: = ( 220,284) 2: = ( 1184,1210) 3: = ( 2620,2924) So it worked */ } /** * @param startValue * @param stopValue * @return */ static void findAllInRange(int startValue, int stopValue) { /* the 2 for loops are to avoid to double check tuple. For example (200,100) and (100,200) is the same calculation * also to avoid is to check the number with it self. a number with itself is always a AmicableNumber * */ StringBuilder res = new StringBuilder(); int countofRes = 0; for (int i = startValue; i < stopValue; i++) { for (int j = i + 1; j