# unitary divisor

Given the divisors $d_{i}$ of an integer $n$, if it is the case that for a particular $d_{i}$ the equality $\gcd(d_{i},\frac{n}{d_{i}})=1$ holds true, then $d_{i}$ is called a of $n$. For example, the unitary divisors of 120 are 1, 3, 5, 8, 15, 24, 40, 120 (while 2, 4, 6, 10, 12, 20, 30, 60 are proper divisors but not unitary divisors). All the divisors of squarefree numbers are also unitary divisors.

Title unitary divisor UnitaryDivisor 2013-03-22 16:53:20 2013-03-22 16:53:20 CompositeFan (12809) CompositeFan (12809) 4 CompositeFan (12809) Definition msc 11A51