
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 proper divisor of a natural number is any of its divisors other than one and the number itself. Find all natural numbers that have at least two different proper divisors and are divisible by the difference of any two of them.

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