
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
The sequence begins with 2,000,000; each subsequent term is obtained by halving the previous term. How many integers are there in this sequence before the first term is subtracted by 3, and what is that resultant term?

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