Definition:Totitive

Definition

Let $n$ be a natural number.

A natural number $m$ is a totitive of $n$ if and only if $m$ is:

coprime with $n$

not greater than $n$.

Examples

Totitives of 10

The set of totitives of $10$ is:

$\set {1, 3, 7, 9}$

Also see

• Results about totitives can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): phi function (totient function)
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): totitive
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): totitive