Immediate antecedents for sequences terminating in a cycle

mshelikoff · 2014-12-11, 06:33

This might be a newbie question ,but is there a list (or lists) of the numbers known to immediately precede a cyclical termination in an aliquot sequence? I think the list of known numbers that do this would be fairly small, but I'm not sure. For example...

For perfect numbers, this would be a subset of the aspiring numbers: 25 and 652 would be included but not 95 or 608.

For amicable numbers, it would include 562 and 1490 and probably many others.

For sociable numbers, it would include 9464 and probably many others.

MichelMarcus · 2014-12-19, 09:15

It would be a subsequence of OEIS A126016 (Numbers whose aliquot sequence does not terminate in 1).

2014-12-11, 06:33	#1
mshelikoff "Marc Shelikoff" Dec 2014 Cambridge, MA 17₈ Posts	Immediate antecedents for sequences terminating in a cycle This might be a newbie question ,but is there a list (or lists) of the numbers known to immediately precede a cyclical termination in an aliquot sequence? I think the list of known numbers that do this would be fairly small, but I'm not sure. For example... For perfect numbers, this would be a subset of the aspiring numbers: 25 and 652 would be included but not 95 or 608. For amicable numbers, it would include 562 and 1490 and probably many others. For sociable numbers, it would include 9464 and probably many others. Last fiddled with by mshelikoff on 2014-12-11 at 06:46 Reason: small grammar error

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2014-12-19, 09:15	#2
MichelMarcus Nov 2011 Saint Maur, France 2·5² Posts	It would be a subsequence of OEIS A126016 (Numbers whose aliquot sequence does not terminate in 1).