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Added Python Program to Check Perfect Number #2244

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Merged
cclauss merged 5 commits into from
Jul 28, 2020
Merged

Added Python Program to Check Perfect Number #2244

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cc21ea1
Added Python Program to Check Perfet Number
Utsav1999 Jul 27, 2020
fb23a6c
CodeSpell Error Fix - 1
Utsav1999 Jul 27, 2020
0c6adf1
Build Error Fix - 1
Utsav1999 Jul 28, 2020
b0e9317
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Utsav1999 Jul 28, 2020
c02b24e
Use generator expression
cclauss Jul 28, 2020
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34 changes: 34 additions & 0 deletions maths/perfect_number.py
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"""
== Perfect Number ==
In number theory, a perfect number is a positive integer that is equal to the sum of
its positive divisors, excluding the number itself.
For example: 6 ==> divisors[1, 2, 3, 6]
Excluding 6, the sum(divisors) is 1 + 2 + 3 = 6
So, 6 is a Perfect Number

Other examples of Perfect Numbers: 28, 486, ...

https://en.wikipedia.org/wiki/Perfect_number
"""


def perfect(number: int) -> bool:
"""
>>> perfect(27)
False
>>> perfect(28)
True
>>> perfect(29)
False

Start from 1 because dividing by 0 will raise ZeroDivisionError.
A number at most can be divisible by the half of the number except the number
itself. For example, 6 is at most can be divisible by 3 except by 6 itself.
"""
return sum(i for i in range(1, ((number // 2) + 1)) if number % i == 0) == number


if __name__ == "__main__":
print("Program to check whether a number is a Perfect number or not.......")
number = int(input("Enter number: ").strip())
print(f"{number} is {'' if perfect(number) else 'not '} a Perfect Number.")