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Using PHP: Write a function that: Given a numerical parameter in input, outputs: If the number is a perfect number, and The divisors and proof

Using PHP:
Write a function that:
Given a numerical parameter in input, outputs:
If the number is a perfect number, and
The divisors and proof of such conclusion
NOTE: A perfect number is equal to the sum of its proper divisors
Example:
If input parameter is 6, output is "Yes, this is a perfect number. Proof: 1+2+3=6"
If input parameter is 3, output is "No, this is not a perfect number. Proof: 1!=3"
Write a "tester function" that:
Given a specific subset of inputs, tests the function described above (point 1).
Example, in pseudo code:
tester_function:
is output from is_perfect_number(6) equal to "..."? If yes, test passed
is output from is_perfect_number() equal to "..."? If yes, test passed
..
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