
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
Let  $1 = d_1 < d_2 < ...< d_k = n$  be all natural divisors of the natural number  $n$ . Find all possible values ​​of the number  $k$  if   $n=d_2d_3 + d_2d_5+d_3d_5$ .

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