
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
A perfect square greater than 1 sometimes has the property that the sum of all its positive divisors is also a perfect square. For example, the sum of all positive divisors of \(9^{2}\) (which are \(1, 3, 9, 27, 81\)) is 121, which equals \(11^{2}\). Find another perfect square with the aforementioned property.

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