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The Collatz Conjecture, also known as the 3n+1 conjecture, is a famous open problem named after Lothar Collatz.
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Collatz-like properties of finite fields
I'm caching in the work I did with the Boost Graph Library to post a few examples as a supplement to the accepted answer. The code is available at this GitHub page. The theorem in the accepted answer …
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Collatz-like properties of finite fields
I was wondering what an equivalent of the Collatz conjecture might be for finite fields. In a Collatz sequence a number is moved down within a set $\{2^k n : k \in \mathbb{Z}^* \}$ for some odd $n$ or …