
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 positive integer is *bold* iff it has  $8$  positive divisors that sum up to  $3240$ . For example,  $2006$  is bold because its  $8$  positive divisors,  $1$ ,  $2$ ,  $17$ ,  $34$ ,  $59$ ,  $118$ ,  $1003$  and  $2006$ , sum up to  $3240$ . Find the smallest positive bold number.

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