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