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Known Sociable Numbers
of order different from four

This is an attempt to collect all known sociable numbers with order different from four (see also Known Sociable Numbers of order four). I would appreciate receiving any kind of updates and corrections. Comments are welcome too. Please visit my tables of other kinds of aliquot cycles.

The table below contains the number of sociable numbers arranged according to the cycle length. Click on the number of cycles to see the full list of cycles. Use your browsers back function to get back here. The lists contains all cycles with the member preceeding the largest member below 4×1012.

Cycle
Length
(Order)
Digits in
Smallest
Member
No of
Cycles
5 5 1
6 11-13 5
8 10-10 2
9 9 1
28 5 1
Total 10

Thanks to:

David Moews, Achim Flammenkamp, Andre Needham.


Update History:

13-Nov-2006
Added a new 6-cycle (13 digits) from Andre Needham. He has brought the exhaustive search up to 4×1012
08-Sep-2006
Added a new 6-cycle (13 digits) from Andre Needham. He has brought the exhaustive search up to 3×1012
15-May-2006
Added a new 6-cycle (13 digits) from Andre Needham. He has brought the exhaustive search up to 2×1012
[29-Dec-2005
Andre Needham has brought the exhaustive search up to 1012. No new cycles.]

Last update: 13-Nov-2006

Jan Munch Pedersen, amicable@post.cybercity.dk