Square Function

Let's define a function $F(X)$ as follows: $$F(X) = \frac{X}{Y}$$ where $Y$ is the largest perfect square that divides $X$. For example, - The largest perfect square that divides $12$ is $4$. Hence $F(12) = \frac{12}{4} = 3$. - The largest perfect square that divides $36$ is $36$. Hence $F(36) = \frac{36}{36} = 1$. - The largest perfect square that divides $7$ is $1$. Hence $F(7) = \frac