diff --git a/maths/special_numbers/perfect_number.py b/maths/special_numbers/perfect_number.py index a022dc677638..07c928a5ff53 100644 --- a/maths/special_numbers/perfect_number.py +++ b/maths/special_numbers/perfect_number.py @@ -1,79 +1,22 @@ """ -== 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 +Determine if a number is a perfect number. +A perfect number is a positive integer that is equal to the sum of its +proper positive divisors. + +More info: https://en.wikipedia.org/wiki/Perfect_number + +>>> is_perfect(6) +True +>>> is_perfect(28) +True +>>> is_perfect(496) +True +>>> is_perfect(10) +False +>>> is_perfect(1) +False +>>> is_perfect(0) +False +>>> is_perfect(-6) +False """ - - -def perfect(number: int) -> bool: - """ - Check if a number is a perfect number. - - A perfect number is a positive integer that is equal to the sum of its proper - divisors (excluding itself). - - Args: - number: The number to be checked. - - Returns: - True if the number is a perfect number, False otherwise. - - 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. - - Examples: - >>> perfect(27) - False - >>> perfect(28) - True - >>> perfect(29) - False - >>> perfect(6) - True - >>> perfect(12) - False - >>> perfect(496) - True - >>> perfect(8128) - True - >>> perfect(0) - False - >>> perfect(-1) - False - >>> perfect(12.34) - Traceback (most recent call last): - ... - ValueError: number must be an integer - >>> perfect("Hello") - Traceback (most recent call last): - ... - ValueError: number must be an integer - """ - if not isinstance(number, int): - raise ValueError("number must be an integer") - if number <= 0: - return False - return sum(i for i in range(1, number // 2 + 1) if number % i == 0) == number - - -if __name__ == "__main__": - from doctest import testmod - - testmod() - print("Program to check whether a number is a Perfect number or not...") - try: - number = int(input("Enter a positive integer: ").strip()) - except ValueError: - msg = "number must be an integer" - print(msg) - raise ValueError(msg) - - print(f"{number} is {'' if perfect(number) else 'not '}a Perfect Number.")