
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
Find all the values that can take the last digit of a "perfect" even number. (The natural number  $n$  is called "perfect" if the sum of all its natural divisors is equal twice the number itself.For example: the number  $6$  is perfect ,because  $1+2+3+6=2\cdot6$ ).

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