
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
Find the sum of all positive divisors of $675$ by using the following method: Since $36=2^2\times3^2$, the sum of all positive divisors of $36$ is given by $(1+3+3^2)+(2+2\times3+2\times3^2)+(2^2+2^2\times3+2^2\times3^2)=(1+2+2^2)(1+3+3^2)=91$.

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