@christianp I've only given this two minutes thought as I'm currently a bit busy, but for those numbers where you claim it does not go to 1, do you have a proof? Are such proofs quite general?

@christianp ... and there are only finitely many possibilities ... fair enough. Seems easy enough to compute lots of values and sufficiently well-defined. Good luck with the bureaucracy of the OEIS ... be prepared to be patient.

Christian Lawson-Perfect@christianp@mathstodon.xyzHere's what it means:

I have a process that begins by picking a number N, and totting up a total T that begins at 0.

Repeatedly do this:

* add N to T

* if N divides T, add 1 to N, otherwise subtract 1

* if N is 1, stop

I searched for N where the process stops