MathDB

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

2 \cdot 5^2

, and

2 + 5 + 5 = 12

. What is the range of the function

r

\{ r(n) : n \ \text{is a composite positive integer} \}

?
(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

Problem Statement