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.
Examples
Extensions to larger domains Iterating on all integers An extension to the Collatz conjecture is to include all integers, not just positive integers.
The Collatz conjecture is equivalent to the statement that all paths eventually lead to 1. Collatz1000mathematica.