Python Program to check if the given number is a perfect number or not

Tutorialsrack 25/04/2020 Python

In this Python program, we will learn how to check if the given number is a perfect number or not

What is a Perfect Number?

A perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. 

For Example, 6 has divisors 1, 2 and 3 (excluding itself), and 1 + 2 + 3 = 6, so 6 is a perfect number.

The sum of divisors of a number, excluding the number itself, is called its aliquot sum, so a perfect number is one that is equal to its aliquot sum. In other words, a perfect number is a number that is half the sum of all of its positive divisors including itself

I.e. σ1(n) = 2n

For Example, 28 is perfect as 1 + 2 + 4 + 7 + 14 + 28 = 56 = 2 × 28

Here is the source code of the program to check if the given number is a perfect number or not.

Program 1: Python Program to find the Number is Perfect Number or Not Using For Loop

# Python Program to find the Number is Perfect Number or Not Using For Loop

# Take the Input from the User
Number = int(input("Enter any Number: "))
Sum = 0

for i in range(1, Number):
    if(Number % i == 0):
        Sum = Sum + i
if (Sum == Number):
    print(" %d is a Perfect Number" %Number)
else:
    print(" %d is not a Perfect Number" %Number)

Program 2: Python Program to find the Number is Perfect Number or Not Using While Loop

# Python Program to find the Number is Perfect Number or Not Using While Loop

# Take the input from the User
Number = int(input("Enter any Number: "))
i = 1
Sum = 0
while(i < Number):
    if(Number % i == 0):
        Sum = Sum + i
    i = i + 1
if (Sum == Number):
    print("%d is a Perfect Number" %Number)
else:
    print("%d is not the Perfect Number" %Number)

Related Posts