Python Program to Check Perfect Number

Posted in Python Tutorial

Updated on Jan 11, 2024

By Mari Selvan

👁️ 144 - Views

⏳ 4 mins

💬 1 Comment

Photo Credit to CodeToFun

🙋 Introduction

In the realm of programming, exploring the properties of numbers is a fascinating task. One such special type of number is a perfect number.

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

In this tutorial, we will delve into a Python program designed to check whether a given number is a perfect number.

The program involves finding and summing the proper divisors of the specified number.

📄 Example

Let's explore the Python code that accomplishes this task.

is_perfect_number.py

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# Function to check if a number is a perfect number
def is_perfect_number(number):
    # Initialize sum of divisors
    divisor_sum = 0
    
    # Find divisors and sum them
    for i in range(1, number):
        if number % i == 0:
            divisor_sum += i
    
    # Check if the sum of divisors is equal to the original number
    return divisor_sum == number

# Driver program
if __name__ == "__main__":
    # Replace this value with the number you want to check
    number = 28
    
    # Call the function to check if the number is a perfect number
    if is_perfect_number(number):
        print(f"{number} is a perfect number.")
    else:
        print(f"{number} is not a perfect number.")

💻 Testing the Program

To test the program with different numbers, modify the value of number in the code.

Output

28 is a perfect number.

Run the script to check if the specified number is a perfect number.

🧠 How the Program Works

The program defines a function is_perfect_number that takes an integer number as input and returns True if the number is a perfect number, and False otherwise.
Inside the if __name__ == "__main__": block, replace the value of number with the desired number you want to check.
The program calls the is_perfect_number function and prints the result using print().

📏 Between the Given Range

Let's delve into the python code that identifies perfect numbers in the specified range.

isPerfectNumber.py

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# Function to check if a number is perfect
def isPerfectNumber(num):
    divisors_sum = sum([i for i in range(1, num) if num % i == 0])
    return divisors_sum == num

# Range for perfect numbers
start_range = 1
end_range = 50

# Find perfect numbers in the range
perfect_numbers = [num for num in range(start_range, end_range + 1) if isPerfectNumber(num)]

# Displaying the results
print(f"Perfect Numbers in the Range {start_range} to {end_range}:")
print(" ".join(map(str, perfect_numbers)))

💻 Testing the Program

Output

Perfect Numbers in the range 1 to 50:
6 28

Run the script to see the perfect numbers in the range from 1 to 50.

🧠 How the Program Works

The program defines a function isPerfectNumber that checks whether a given number is perfect or not.
It then iterates through the range from 1 to 50, identifying perfect numbers using the defined function.
The program prints the perfect numbers found in the specified range.

🧐 Understanding the Concept of Perfect Number

Before delving into the code, let's understand the concept of perfect numbers. A perfect number is a positive integer that is equal to the sum of its proper divisors (excluding itself).