For every composite positive integer $n$, define $e(n)$ to be the sum of the exponents in the prime factorization of $n$. For example, $e(50)=3$ because the prime factorization of 50 is $2^1\times 5^2$, and $1+2=3$. What is the range of the function $e$, $e(n):n\text{ is a composite positive integer}$?