The current Perfect Numbers challenge is rather flawed and complicated, since it asks you to output in a complex format involving the factors of the number. This is a purely decision-problem repost of the challenge.
Given a positive integer through any standard input format, distinguish between whether it is perfect or not.
A perfect number is a number that is equal to the sum of all its proper divisors (its positive divisors less than itself). For example, \$6\$ is a perfect number, since its divisors are \$1,2,3\$, which sum up to \$6\$, while \$12\$ is not a perfect number since its divisors ( \$1,2,3,4,6\$ ) sum up to \$16\$, not \$12\$.
Imperfect: 1,12,13,18,20,1000,33550335 Perfect: 6,28,496,8128,33550336,8589869056
- Your program doesn't have to complete the larger test cases, if there's memory or time constraints, but it should be theoretically able to if it were given more memory/time.
- Output can be two distinct and consistent values through any allowed output format. If it isn't immediately obvious what represents Perfect/Imperfect, please make sure to specify in your answer.