AMC 12B 2015 Problem 18

For every composite positive integer n, define r(n) to be the sum of the factors in the prime factorization of n. For example, r(50)=12 because the prime factorization of 50 is 2 \cdot 5^{2}, and 2+5+5=12. What is the range of the function r,\{r(n): n is a composite positive integer \} ?

Answer Choices
A. the set of positive integers
B. the set of composite positive integers
C. the set of even positive integers
D. the set of integers greater than 3
E. the set of integers greater than 4