
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
Anton writes down all positive integers divisible by 2 in sequence. Berta writes down all positive integers divisible by 3 in sequence. Clara writes down all positive integers divisible by 4 in sequence. The orderly Dora notes down the numbers written by the others, arranges them in ascending order, and does not write down any number more than once. What is the 2017th number in her list?

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