This is an attempt to collect all known infinitary sociable numbers with order different from four (see also Known Infinitary 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 2×1011.
| Cycle Length (Order) |
Digits in Smallest Member |
No of Cycles |
||
|---|---|---|---|---|
| 3 | 11-112 | 5 | ||
| 6 | 5-401 | 91 | ||
| 7 | 16-25 | 8 | ||
| 8 | 9-119 | 7 | ||
| 10 | 10 | 1 | ||
| 11 | 6-126 | 5 | ||
| 12 | 9-120 | 5 | ||
| 14 | 10-11 | 2 | ||
| 21 | 10 | 1 | ||
| 22 | 11 | 1 | ||
| 23 | 8 | 1 | ||
| 25 | 10 | 1 | ||
| 85 | 8 | 1 | ||
| Total | 129 | |||
Derek Ball, G. L. Cohen, David Moews.
Last update: 20-Nov-2006