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Old 2014-12-11, 06:33   #1
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"Marc Shelikoff"
Dec 2014
Cambridge, MA

11112 Posts
Default 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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Old 2014-12-19, 09:15   #2
Nov 2011
Saint Maur, France

1100102 Posts

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