# Just the Evens

Find the sum of even positive divisors of

- 10 August, 2012 -
- Article, Math Problems -
- Tags : 104 problems, number theory, titu
- 0 Comments

From the arithmetic argument established previously, we know that the sum of divisors function is defined as

Because , then it must be the case that ; however, because we can only look at the even divisors, we can only consider exponents of 2 that are greater than or equal to 1. That is, using the same argument used in the previous article

Therefore, .