Perfect number program in Python with example

Interview Preparation

In this tutorial you will learn how to write a program in Python programming language to check a given number is perfect or not.

This program is little bit tricky and logical.

But Before directly moving on writing and learning the program first you should know 

What is Perfect Number?

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

 

Lets understand it with example

6 is a positive number and its divisor is 1,2,3 and 6 itself.

But we should not include 6 as by the definition of perfect number.

Lets add its divisor excluding itself

1+2+3 = 6 which is equal to number itself.

It means 6 is a Perfect Number.

How our program will behave?

Python program for perfect number is written below. This program will take a positive number as an input.

Suppose you want to check that a number is perfect or not then you have to give that number as an input to this below program at time of execution.

After the calculation it will give you appropriate output.

If number is perfect then 

Below is a program to check a given number is perfect or not in Python

num = int(input("please give first number a: "))
sum=0
for i in range(1,(num//2)+1):
    remainder = num % i
    if remainder == 0:
        sum = sum + i
if sum == num:
    print("given no. is perfect number")
else:
    print("given no. is not a perfect number")

Output:

perfect number program in python

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