[seqfan] Re: Numbers with sigma(n)/n a rational power

[Jack Brennen]

Is it possible?  Sure thing!

sigma(n)/n == (6/5)^9 :

310112797712194255478700000000000
6771341256708805494217500000000000




On 11/1/2013 10:42 PM, michel.marcus at free.fr wrote:
>
> Hello seqfans,
>
> In OEIS, A069070 lists some numbers for which  sigma(n)/n  is a square.
> And A230043  lists some numbers for which sigma(n)/n is a cube.
>
> Finally, A230538  lists some numbers for which sigma(n)/n is a fourth power.
> And it also gives instances for powers from 5 to 8.
>
> Is it possible to find instances with higher power like 9 or 10?
>
> Best .
> Michel
>
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