
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
For a natural number $A$, define the product of its digits in base 10 as $p(A)$. Find all values of $A$ that satisfy the equation $A = 1.5 \cdot p(A)$.

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