
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 odd composite positive integer $n$, define $r(n)$ as the sum of the numbers in the prime factorization of $n$, each counted with their multiplicity. For example, $r(15) = 8$ because the prime factorization of $15$ is $3 \times 5$, and $3 + 5 = 8$. Determine the range of the function $r$, $\{r(n): n \text{ is an odd composite positive integer}\}$.
A) the set of integers greater than 5
B) the set of integers greater than 6
C) the set of integers greater than 5 except for 7
D) the set of integers greater than 4 except for 6

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