
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
Masha wrote on the board, in ascending order, all the natural divisors of a certain number \( N \) (the first divisor is 1, and the largest divisor is the number \( N \) itself). It turned out that the third-to-last divisor is 21 times larger than the second divisor. What is the largest possible value of \( N \)?

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