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Old 01-25-2009   #99 (permalink)
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Turtle
Percipient


 



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Arrow Re: A Mathematical Emergency.

Hey Don. Hey Modest. Just thought I'd pop in with some tid-bits I'm somewhat familiar with.

When I saw the summing of Perfect factors here, I recalled that the sum of the reciprocals of the proper factors of a Perfect number equals 2 (including the reciprocal of the number itself). Do you guys recall that? Does it shed any light on the discussion?
e.g. >> \frac{1}{1}+\frac{1}{2}+\frac{1}{4}+\frac{1}{7}+\frac{1}{14}+\frac{1}{28} = 2

When I saw Modest mention 30 satisfying some of Don's criteria, I recalled that it is one of my "Strange" numbers, which is to say it is abundant by 12. Again, I don't know if any of that forwards this conversation.

So I'm not too up on the logarithms but I have been reading all the posts here and maybe some of it will sink in.

If we need them, we have threads on Perfect numbers and the Strange numbers.

Perfect Numbers: An Aural Dissertation

Strange Numbers


----------------
semantics is not always just pedantic quibbling. ~ douglas r. hofstadter

Last edited by Turtle; 01-25-2009 at 12:52 PM.. Reason: add equation
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