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The 3n+1 Problem
Start with a number. Then at each step, if is even, compute , and if is odd, compute . So far as anyone can tell, the resulting sequence always eventually reaches 1. But despite work since the 1930s, no proof is known.



"The 3n+1 Problem" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/The3n1Problem/
Contributed by: Stephen Wolfram
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