Cognitive Scaffold

Preparing your thinking workspace

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MENTAL MODEL · M4546

Collatz Conjecture

Collatz Conjecture
StructureHigh supportLogic
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Version 1.0.0 · Updated 2026-07-28

CORE DEFINITION

The Collatz conjecture, also known as the odd-even normalization conjecture, the 3n+1 conjecture, the hailstone conjecture, the Kakutani's conjecture, the Hasse's conjecture, the Ulam's conjecture, or the Syracuse conjecture, states that for every positive integer, if it is odd, multiply it by 3 and add 1; if it is even, divide it by 2. Repeating this process will eventually reach 1.

SCAFFOLDING EFFECT

psychology

Reduce cognitive load

The Collatz conjecture, also known as the odd-even normalization conjecture, the 3n+1 conjecture, the hailstone conjecture, the Kakutani's conjecture, the Hasse's conjecture, the Ulam's conjecture, or the Syracuse conjecture, states that for every positive integer, if it is odd, multiply it by 3 and add 1; if it is even, divide it by 2. Repeating this process will eventually reach 1.

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Anchor fast decisions

For any positive integer, if it is even, divide by 2; if it is odd, multiply by 3 and add 1. Iterating this process will eventually reach 1, but this has not yet been proven.

MINIMUM ACTION

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Source support: Explicit

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    zh.wikipedia.orghttps://zh.wikipedia.org/wiki/%E8%80%83%E6%8B%89%E5%85%B9%E7%8C%9C%E6%83%B3ZH · Explicit
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