
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 \( N \) is called a "magic number" if, when \( N \) is appended to the right of any positive integer (for example, appending 21 to the right of 35 to get 3521), the resulting new number is always divisible by \( N \). How many "magic numbers" are there among the positive integers less than 600?

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