User blog:Pi.jayk/Angry number

In number theory, an angry number is any natural number n whose nonunitary abundance or deficiency is a nonunitary divisor of n. The formula for an angry number can be written as follows:

sigma#(n)=n+-d

where sigma#(n) represents the sum of the nonunitary divisors of n, and d is a nonunitary divisor of n.

A divisor d is said to be nonunitary if d and n/d for some natural number n have a greatest common divisor greater than 1.