(suggested new terminology)

Definition 1. The family members of a positive integer n are the divisors of n.

Definition 2. The relatives of a positive integer n are the positive integers not exceeding n that are not relatively prime to n.

Definition 3. The pets of a positive integer n are the positive integers not exceeding n that are relatively prime to n.

Remark: Euler’s phi function tells how many pets a given positive integer has.

keywords:

[Mathematics]

[Number Theory]

[divisibility]

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