Question: How to find abundant/deficient numbers

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

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.



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