How to find abundant/deficient numbers

Question:How to find abundant/deficient numbers

Posted: Matt C Anderson 180 Product: Maple 13

June 18 2024

Hi MaplePrimes,

I have decided to look for an odd perfect number.
I want Maple code to determine if there is a perfect number beween bounds on a factor.
For definitions of deficient and perfect and abundant numbers, see
https://mathworld.wolfram.com/DeficientNumber.html
https://mathworld.wolfram.com/PerfectNumber.html
https://mathworld.wolfram.com/AbundantNumber.html

I need some sort of loop that closes in on the edge of abundant/deficient numbers.

Specifically, an IF() statement is needed about wheather the function

sigma(a)-2*a is positive or negative.

Regards,

Matt

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