# Tagged Questions

Dynamics of the iterated map $n \to 3n+1$ if $n$ is odd and $n \to \frac n2$ if $n$ is even. Generalizations to $n \to 3n-1$ or $n \to 5n+1$ or even to $n \to pn+q$ . Other names are "$3x+1$-problem","syracuse problem". If you have a question, please be specific to your detail. MSE is not ...

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### Collatz Conjecture Algorithm

Related: A general question about the Collatz Conjecture and finding that integer that doesn't work I was coding a solution to the $3k+1$ problem and was looking at ways to speed up the computation. ...
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### Looking for the one of my dreams.

Motivation: Solution of the following, clearly true (probability can be made arbitrarily small through numerical computation), problem would, combined with other work, provide a major step toward the ...
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### Is it possible to describe the Collatz function in one formula?

This is related to Collatz sequence, which is that $$C(n) = \begin{cases} n/2 &\text{if } n \equiv 0 \pmod{2}\\ 3n+1 & \text{if } n\equiv 1 \pmod{2} .\end{cases}$$ Is it possible to describe ...
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### 3x+1 the unsolved equation

So I've been looking into unsolved equations in mathematics, mostly from youtube videos as I am surely not a math major, but I am having some issues with understanding what is unsolved about the 3x+1 ...
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### arithmetic sequence $8n+1$ and the collatz conjecture

Is it a known result that if for all $n$ the collatz sequence of $8n+1$ lead to $1$, all natural numbers will?
I have been fascinated by this problem since I first heard about it in high school. From the Wikipedia article http://en.wikipedia.org/wiki/Collatz_problem: Take any natural number $n$. If $n$ is ...