maths.perfect_number

== 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

Attributes

number

Functions

perfect(→ bool)

Check if a number is a perfect number.

Module Contents

maths.perfect_number.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 otherwise, 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. 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 an integer >>> perfect(“Hello”) Traceback (most recent call last):

…

ValueError: number must an integer

maths.perfect_number.number