AMICABLE NUMBERS
Two different numbers are such that the sum of proper divisors of each is equal to the other number.
- Proper divisors of a given number are the numbers ( except the number itself ) that can divide the given number
Example: Proper divisors of 8 are 1, 2, 4.
The smallest pair of the amicable number is ( 220, 284 )
- Proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110
and the sum of the divisors are 1 + 2 + 4 + 5 + 10 + 11 + 20 + 22 + 44 + 55 + 110 = 284. - Proper divisors of 284 are 1, 2, 4, 71, 142
and the sum of the divisors are 1 + 2 + 4 + 71 + 142 = 220.
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