
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 natural number's proper divisors are defined as positive integer divisors other than 1 and the number itself. A natural number greater than 1 is called "good" if it is equal to the product of all its distinct proper divisors. What is the sum of the first 10 "good" natural numbers?

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