[seqfan] Re: Question about abundant numbers (A5101)

M. F. Hasler oeis at hasler.fr
Mon Dec 12 21:44:34 CET 2022


No, in particular there are the weird numbers which are abundant but not
semiperfect, i.e. not sum of any subset of their divisors.
- Maximilian

On Mon, Dec 12, 2022, 14:32 Alonso Del Arte <alonso.delarte at gmail.com>
wrote:

> Given an abundant number *n*, is it always the case that there are at least
> two subsets of *n*'s divisors that add up to *n* + 1?
>
> e.g., *n* = 70, we see that obviously 1 + 70 = 71 but also 35 + 14 + 10 +
> 7 + 5 = 71.
>
> Al
>
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> Alonso del Arte
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> <https://www.smashwords.com/profile/view/AlonsoDelarte>
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