What about the 5x+1-problem? We have the same factorization-observation by *5, +1 and /2 - but we have cycles and also (very likely) divergent trajectories. How does that fit with the above …

Nov 3, 2024 · This answer was about the $3x+1$ problem. But you can apply it to $3x-1$ (which equals $3x+1$ in the negative numbers) if you simply do $-1$ instead of $+1$ in the …

Aug 25, 2015 · Besides the $3x + 1$ problem, for which similar problems are still unresolved regarding trayectory? Ask Question Asked 10 years, 4 months ago Modified 6 years, 11 …

May 17, 2017 · This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any …

The Wikipedia article for the Collatz conjecture states that: The conjecture has been checked by computer for all starting values up to $5 \\times 2^{60} \\approx 5.764 \\times 10^{18}$. It gives an

May 13, 2017 · Want to improve this question? Guide the asker to update the question so it focuses on a single, specific problem. Narrowing the question will help others answer the …

Jan 1, 2025 · So before I sound dumb, if the problem below is documented/solved /unsolved as officially or unofficially published work somewhere please say Take a non zero positive …

Sep 5, 2022 · This gives us the classic $3x+1$ problem. However, we could set these variables to different numbers or functions in order to get other "Collatz-like" mappings, which is exactly …

Jan 12, 2022 · 8 I have recently read the famous paper by Crandall (1978) on the $3x+1$ problem, and I wonder what progress has been made since then. The paper claims that: If a …

Jun 16, 2024 · There's all sorts of other potential open-problem goodies in here as well, like: Is there a way to know the size of the smallest set, or by at least how many prime factors are …