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How does Collatz work?
The Collatz Conjecture is a mathematical sequence starting with any positive integer. If the number is odd, multiply it by 3 and add 1; if even, divide it by 2. Repeat this process, and the sequence is conjectured to always reach the cycle 4 → 2 → 1, though this remains unproven. For example, starting with 7: 7 (odd) → 22 (even) → 11 (odd) → 34 (even) → 17 (odd) → 52 (even) → 26 (even) → 13 (odd) → 40 (even) → 20 (even) → 10 (even) → 5 (odd) → 16 (even) → 8 (even) → 4. The calculations on this page are set to automatically stop at 4, because this is when it gets stuck in a loop.