The Collatz Conjecture
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Unsolved problem in mathematics: Does the Collatz sequence eventually reach 1 for all positive integer initial values? The Collatz conjecture is a conjecture in mathematics that concerns sequences defined as follows: start with any positive integer n.
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The Collatz sequence has been tested and found to always reach 1 for all numbers less than 19×258≈5.48×1018. As an example of the iteration, 10→5→16→8→4→2→1 takes 6 steps.
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The Collatz conjecture states that the orbit of every number under f eventually reaches 1. And while no one has proved the conjecture, it has been verified for every number less than 268.
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