MathDB

2

Part of 2009 Argentina National Olympiad

Problems(1)

sum of squares of its proper divisors is equal to 2n+4

Source: 2009 Argentina OMA Finals L3 p2

1/15/2023
A positive integer nn is acceptable if the sum of the squares of its proper divisors is equal to 2n+42n+4 (a divisor of nn is proper if it is different from 11 and of nn ). Find all acceptable numbers less than 1000010000,
number theoryDivisors