
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 any natural number $n$, let $d(n)$ denote the number of positive divisors of $n$ and $s(n)$ the sum of these divisors. For example, $d(2018) = 4$ because 2018 has four divisors (1, 2, 1009, and 2018), and $s(2018) = 1 + 2 + 1009 + 2018 = 3030$.

Determine all natural numbers $x$ for which $s(x) \cdot d(x) = 96$ holds.

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