Papex

Open problem · Mathematics · since 1937

Collatz conjecture

Does the 3n + 1 process always reach 1, whatever number it starts from?

Summary

Halve an even number, send an odd n to 3n + 1, and repeat: the question is whether every positive integer ends at 1.

Source

Open, as listed by Wikipedia · Unsolved problems in mathematics. Checked 29 Sep 2026.

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