Semi Integer Multiply Perfect

[Peter Pein]

Hi Yasutoshi,

I did not try to verify the larger numbers > 10^6, but you missed 4320
(=2^5*3^3*5^1) in this case.

Peter

koh schrieb:
>     Neil
> 
>     I submit generalized Multiply Perfect Number sequence
>     I think these are finite.
>     Could anyone compute more terms?
> 
>   ....
>     %I A000002
>     %S A000002 4680,26208,197064960,20427264,57575890944,21857648640,230361837156847526055247872
>     %N A000002 Semi Integer Multiply Perfect Number such that Sigma(m)=k*m , where k=n/2 for some integer n.
>                Sequence gives the case of k=7/2
>                Factorization :2^3*3^2*5*13  
>                               2^5*3^2*7*13  
>                               2^8*3*5*19*37*73 
>                               2^9*3^2*11*13*31 
>                               2^13*3^2*11*13*43*127
>                               2^14*3*5*19*31*151  
>                               2^25*3^4*11^2*19^2*127*683*2731*8191
>     %Y A000002 A000001,A000003
>     %K A000002 none
>     %O A000002 1,1
>     %A A000002 Yasutoshi Kohmoto   zbi74583 at boat.zero.ad.jp
> ...
> 
>     Yasutoshi
>     
>