
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
How many [positive integers](https://artofproblemsolving.com/wiki/index.php/Positive_integer) have exactly three [proper divisors](https://artofproblemsolving.com/wiki/index.php/Proper_divisor) (positive integral [divisors](https://artofproblemsolving.com/wiki/index.php/Divisor) excluding itself), each of which is less than 50?

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