Word info

Collatz conjecture

Proper noun

Meaning

Collatz conjecture

(mathematics) The conjecture that the process of taking a number



n


{\displaystyle n}

and, if



n


{\displaystyle n}

is even, dividing it by 2, or if



n


{\displaystyle n}

is odd, multiplying it by 3 and adding 1, then repeating this process, will eventually yield 1.

Source: en.wiktionary.org

Examples

Extensions to larger domains Iterating on all integers An extension to the Collatz conjecture is to include all integers, not just positive integers. Source: Internet

The Collatz conjecture is equivalent to the statement that all paths eventually lead to 1. Collatz1000mathematica. Source: Internet

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