We computed the finite connected components of the aliquot graph for: (1) all even numbers below 109; (2) all even amicable pairs with smaller number below 1014; (3) all known even perfect and sociable cycles with smallest number below 1017. The connected components can be downloaded in text format (one component per line) or as a graphic (cases (1) and (3) only). For those numbers with potentially infinite connected component, we have recorded an odd number m and indices j, k such that sk(n) = sj(m); the files are in text format, with each line in the form n:k=m:j.
finite connected components | potentially infinite connected components | |
all even numbers below 109 | text png | compressed text (4.5GB, 16GB uncompressed) |
amicable pairs below 1014 | text | text |
perfect and sociable cycles below 1017 | text png | text |