Say a number $n>1$ is even do $3n+1$, if odd then do $\lceil n/2\rceil$. How to prove it will always be finite?
问题内容
Like say 2 is 7, 4, 13, 7, 4, 13, ... Again for 3, for 4 and so ob. It always ends in this 7,4,13 loop. Now we need to prove whether it will always end in this loop or not.
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