+17 How many positive integers are not less than the sum of their divisors?
+806
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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