
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
We know that the number of factors of 2013, 2014, and 2015 are the same. What is the smallest value of \( n \) among three consecutive natural numbers \( n, n+1, \) and \( n+2 \) that have the same number of factors?

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