oh my goodness

From: spike66 (spike66@attbi.com)
Date: Sun May 05 2002 - 22:35:58 MDT


>By the way, my program found a kilodamngood number
>last night, and is currently searching for a megagood number.

That abundant kilodamngood number was 12147402, the
sum of whose factors is 12147414.

A deficient kiloverygood number is 262144, the sum of
whose factors is 262143.

The best abundant odd so far is a mere damngood
number: 32445.

If you have a faster routine, do let me know. We could get a
few fast computers here and bag the record, could we not?

As for finding abundantly evil numbers, I figured out how to
do that. You have as many small factors as possible. For
instance, the number 70945875 is 3^4*5^3*7^2*11*13
and has a goodness ratio of 1.548 which is really high for
an odd number. It is really an evil number.

Now that I got fooling with this, I remembered that I derived the
method for doing abundant evil numbers back in my second
year of college, 22 yrs ago. Guess thats one advantage to being
old, is being able to discover cool mathematics over again. {8-] spike



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