How many positive integers are not less than the sum of their divisors?

ruiruima Jan 14, 2024

#1**+1 **

*How many positive integers are not less than the sum of their divisors?*

I'd make the argument that any integer can be divided by 1 and by itself.

From this, we can say that the sum of these divisors of any integer x is x+1.

Therefore, every integer is less than this particular sum of its divisors.

Except the integer 1. 1 is divisible only by 1, so the integer is the same as the sum.

So, I conclude that the answer is **one** ... namely, the integer 1.

_{.}

Bosco Jan 15, 2024