[seqfan] Re: Destinies of sums of proper divisors.

Hans Havermann pxp at rogers.com
Mon Jul 6 02:46:48 CEST 2009


Maximilian Hasler:

> I must admit that dest(99225) still takes some time to compute...

Indeed. The destiny is identical to that of the smaller 46758:

0    46758    99225
1    46770   114582
2    65550   135762
3   113010   180462
4   158286   199698
5   191922   205518
6   205518   ...

so I looked for dest(46758), first using Mathematica to #472, then one  
at a time (copy/paste) using Dario Alpern's online ECM-factorization  
applet to #547 (< #546). #547 (assuming I didn't make any mistakes) is:

220856107213904390193665654934000814055972896201951406931845871108450633171297110864659603360

According to Wolfgang Creyaufmueller's online tables

http://www.aliquot.de/tabellen/tables.htm

46758 has been indexed up to #666 where we have the 101-digit

42291149432355095308926992983480450623448873555059382537140396682361170391404079245409226419855814760





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