Collatz Paths

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The Collatz conjecture states that for every positive integer , repeating the simple algorithm


always eventually reaches the number 1. The conjecture remains unproven since 1937 when it was first proposed by Lothar Collatz.

This Demonstration shows the eventual merging of paths to 1, for all positive integers up to a given maximum. Because the algorithm has two cases, the graph is always a binary tree.


Contributed by: Jesse Nochella (March 2011)
Open content licensed under CC BY-NC-SA



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