20210602, 07:00  #1 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2×3×509 Posts 
Might miss small sociable number
OEIS sequence https://oeis.org/A003416 may not be complete to 1799281330, also the site http://djm.cc/sociable.txt, since it is not even known whether 56440 is a member of sociable number, however, if so, the length of the cycle of 56440 must be >5000
Reference: http://factordb.com/sequences.php?se...20&fr=0&to=100 Note that the Aliquot sequence of 1578 merges with that of 56440 Last fiddled with by sweety439 on 20210602 at 07:01 
20210602, 07:18  #2 
Romulan Interpreter
Jun 2011
Thailand
2^{4}·13·47 Posts 
I believe 276 is a "social distance" number.
That means it is a social number, but it will be a long distance till somebody will find out that the sequence 276 ends in 276. (edit: or we can have a cycle that includes all Lehmer's Five, why not? hehe). So, yeah, you are right, those OEIS sequences are not complete... (Oh Dear Mighty God, he is back...) Last fiddled with by LaurV on 20210602 at 07:26 
20210602, 07:40  #3  
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2×3×509 Posts 
Quote:
Last fiddled with by sweety439 on 20210602 at 07:42 

20210602, 07:59  #4 
Romulan Interpreter
Jun 2011
Thailand
2630_{16} Posts 
Doh, you got me there!
Last fiddled with by LaurV on 20210602 at 07:59 
20210603, 17:20  #5 
"Daniel Jackson"
May 2011
14285714285714285714
1241_{8} Posts 
Maybe a later term will be the cycle's start. We don't know if that'll happen yet, but the later terms aren't untouchable. Other sequences (i.e. 10000018198 and 31657014970784) merge with 276.
Last fiddled with by Stargate38 on 20210603 at 17:21 
20210608, 16:14  #6 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2·3·509 Posts 
See related thread https://mersenneforum.org/showthread.php?t=22701
MODERATOR NOTE: Following five posts moved there Last fiddled with by Dr Sardonicus on 20210921 at 13:58 
20210921, 11:16  #7 
"Alexander"
Nov 2008
The Alamo City
2×379 Posts 
Whatever the prior research, the second half of this thread looks more like a blog thread than anything that should stay in the Aliquot forum. Perhaps these posts should be moved over to the "sweety's Musings" section.

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