For every composite positive integer $n$ that is a perfect square, define $r(n)$ to be the sum of the factors in the prime factorization of $n$. For example, $r(36)=10$ because the prime factorization of 36 is $2^2\times 3^2$, and $2+2+3+3=10$. What is the range of the function $r$, $r(n):n\text{ is a composite positive integer that is a perfect square}$?