
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
If a number equals the sum of its factors excluding itself, then this number is called a perfect number. For example, the factors of 6, excluding itself, are 1, 2, and 3, and since 6 = 1 + 2 + 3, 6 is a perfect number. About 2200 years ago, Euclid proposed that if $2^n - 1$ is a prime number, then $2^{n-1}(2^n - 1)$ is a perfect number. Please write down the next perfect number after 6 based on this conclusion.

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