
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
Determine all natural numbers  $n \geq 2$  with at most four natural divisors, which have the property that for any two distinct proper divisors  $d_1$  and  $d_2$  of  $n$ , the positive integer  $d_1-d_2$  divides  $n$ . 

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