[seqfan] Re: Who understands Granville numbers?
Alonso Del Arte
alonso.delarte at gmail.com
Thu Oct 28 22:28:20 CEST 2010
Yes, that makes it crystal clear to me. Thank you very much, William, for
that explanation.
On Thu, Oct 28, 2010 at 4:16 PM, William Marshall <w.r.marshall at actrix.co.nz
> wrote:
> ...
>
> In general:
>
> If n is a deficient number then n is in the set S.
> If n is a perfect number then n is in the set S.
>
> The smallest abundant number (12) is obviously NOT in the set S.
>
> Larger abundant numbers may or may not be in the set S. You need to check.
>
> Example:
>
> The proper divisors of 24 are 1, 2, 3, 4, 6, 8, 12. All of the divisors
> except 12 are in the set S, so ignore 12. The sum is then 1+2+3+4+6+8 =
> 24, so 24 is in the set S (and 24 is also S-perfect since the sum came
> out as 24).
>
> ...
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