Uploaded March 2026 | Updated September 2026, 1 week ago
The Collatz Conjecture is the simplest unsolved problem in mathematics. Pick any positive integer. If it's even, divide by 2. If it's odd, multiply by 3 and add 1. Repeat. Does every number eventually reach 1? We've tested quintillions of numbers and they all do — but nobody can prove it always works.
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Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information. Viewers should always verify the information provided in this video by consulting other reliable sources.
The Collatz Conjecture is the simplest unsolved problem in mathematics. Pick any positive integer. If it's even, divide by 2. If it's odd, multiply by 3 and add 1. Repeat. Does every number eventually reach 1? We've tested quintillions of numbers and they all do — but nobody can prove it always works.
This video was partially created using Manim. To learn more about animating with Manim, check out:https://manim.community
Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information. Viewers should always verify the information provided in this video by consulting other reliable sources.
