
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
(Exploring with a counter) Write any multiple of 3, cube each of its digits and add them together, then cube each digit of the new number obtained and add them together to get another new number, and keep repeating this process...  
(1) Write out the calculation formulas;  
(2) Describe your findings.

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