
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
For every composite positive integer $n$, define $s(n)$ to be the sum of the prime factors in the prime factorization of $n$ each increased by $1$. For example, $s(50) = 14$ since the prime factorization of $50$ is $2 \times 5^{2}$, and $(2+1) + (5+1) + (5+1) = 14$. What is the range of the function $s$, $\{s(n): n \text{ is a composite positive integer}\}$?
A) the set of positive integers
B) the set of positive integers greater than 5
C) the set of positive integers greater than 6
D) the set of even positive integers
E) the set of composite positive integers

Present the answer in LaTex format: \boxed{Your answer}
user