
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
Define a function $g(m) = \frac{d(m)}{\sqrt[4]{m}}$ where $d(m)$ denotes the number of positive integers that divide $m$. Determine the unique positive integer $M$ such that $g(M) > g(m)$ for all positive integers $m \neq M$. What is the sum of the digits of $M$?
A) 6
B) 7
C) 8
D) 9
E) 10

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