[seqfan] Re: Mathematica and aspiring numbers

Richard Mathar mathar at strw.leidenuniv.nl
Thu Dec 18 23:20:34 CET 2008


tk> From seqfan-bounces at list.seqfan.eu Thu Dec 18 18:57:11 2008
tk> Date: Thu, 18 Dec 2008 09:51:55 -0800 (PST)
tk> From: Tanya Khovanova <mathoflove-seqfan at yahoo.com>
tk> To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
tk> Subject: [seqfan]  Mathematica and aspiring numbers
tk> ...
tk> If you are in a mood for doing favors - you can help me. I urgently
tk> need the next three aspiring numbers after 9997. (Aspiring numbers have
tk> aliquot sequence ending in a perfect number)
tk> ...

I am wondering: why isn't 496 in A063769?
A001065(496)=496, so the aliquot sequence immediately stalls  with the fix
point 496, and 496 is in A000396 (=perfect). So from this argument, the aliquot
sequence of 496 ends at 496 which is a perfect number..

Richard




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