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The Collatz Conjecture, also known as the 3n+1 conjecture, is a famous open problem named after Lothar Collatz.

12 votes

A Collatz-like function that bifurcates on primes

Max Alekseyev's answer suggests that many orbits should diverge, since $\operatorname E(\ln f(n))>\ln n$. However, by a more careful accounting of run lengths, I find that every orbit should almost su …
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