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Almost perfect odd numbers

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Ari Kuusisto

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Nov 22, 1997, 3:00:00 AM11/22/97
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Is it true that the smallest possible distance between an odd number
(n>10) and the sum of its proper divisors (S(n)) is 6? When n=8925,
32445 or 442365, S(n)=n-6, and for n=7, 15, 315, 1155 and 815634435
S(n)=n+6. Are there any more numbers like these?

Ari Kuusisto

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Nov 22, 1997, 3:00:00 AM11/22/97
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Ari Kuusisto wrote:
>
> Is it true that the smallest possible distance between an odd number
> (n>10) and the sum of its proper divisors (S(n)) is 6?
Oops, S(n)=n+6 when n=8925, 32445 or 442365,
S(n)=n-6 when n=7, 15, 315, 1155 or 815634435.

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