
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
Alice and Bob play a game where Alice chooses an integer between 1 and 1728 inclusive, and Bob divides 1728 by that integer and checks if the quotient is an integer. How many integers could Alice choose such that Bob’s quotient is an integer?

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