
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 a positive integer  $n$ , the number of integers between  $1$  and  $n$  and relatively prime to  $n$  is denoted by  $\phi(n)$ , and the number of positive divisors of  $n$  is denoted by  $d(n)$ . Find all n that satisfy
\[\phi(n) = d(n).\]

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