[seqfan] Re: Iterating some number-theoretic functions

[Hans Havermann]

> I didn't add the sequence of n such that the trajectory of n increases without limit (it begins 45, 50, ... but how does it continue?)

A quick (non-rigorous) check finds 660 terms less than 1000, 7894 less than 10000. This suggests that such numbers are the rule, not the exception.

45, 48, 50, 55, 56, 60, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 102, ...

> Are there any starting values that go into a nontrivial cycle?

I've got all of the cycles with starting values up to 10000 as numbers becoming themselves.