diff --git a/maths/perfect_number.py b/maths/perfect_number.py new file mode 100644 index 000000000..3de742399 --- /dev/null +++ b/maths/perfect_number.py @@ -0,0 +1,34 @@ +""" +== 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.")