[seqfan] Re: Sowing integers

[David Scambler]

> Maximilian wrote: " whether (or why) there cannot be some smaller "loop"
> in the orbit of some numbers such that the initial position would
> never be reproduced"

Indeed. I have unsuccessfully searched for short orbits in integers up to 1 million.
I am not sure when to stop searching and conjecture instead that there are none.

The longest loop so far is 223200 for the integer 98999. Perhaps someone can check this assertion.

dave