
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
Given a natural number \( n \geq 2 \), let \( d(n) \) represent the number of positive divisors of \( n \).

Determine all natural numbers \( n \geq 3 \) for which

\[ d(n-1) + d(n) + d(n+1) \leq 8 \]

holds.

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