
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
El Chapulín observed that the number  $2014$   has an unusual property. By placing its eight positive divisors in increasing order, the fifth divisor is equal to three times the third minus  $4$ . A number of eight divisors with this unusual property is called the *red* number . How many *red* numbers  smaller than  $2014$  exist?

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