Python Program to Check Disarium Number

Posted in Python Tutorial

Updated on Oct 31, 2024

By Mari Selvan

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4 mins

1 Comment

Photo Credit to CodeToFun

Introduction

In the realm of programming, exploring mathematical patterns is a fascinating endeavor. One such numeric pattern is the Disarium number.

A Disarium number is a number defined by the sum of its digits each raised to the power of its respective position.

In this tutorial, we'll delve into a Python program designed to check whether a given number is a Disarium number.

Example

Let's explore the Python code that checks whether a given number is a Disarium number.

is_disarium.py

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def count_digits(number):
    count = 0
    while number != 0:
        count += 1
        number //= 10
    return count

def is_disarium(number):
    original_number = number
    digit_count = count_digits(number)
    total_sum = 0

    while number != 0:
        digit = number % 10
        total_sum += digit ** digit_count
        digit_count -= 1
        number //= 10

    return total_sum == original_number

# Replace this value with your desired number
input_number = 89

# Check if the number is a Disarium number
if is_disarium(input_number):
    print(f"{input_number} is a Disarium number.")
else:
    print(f"{input_number} is not a Disarium number.")

Testing the Program

To test the program with different numbers, replace the value of input_number in the code.

Output

89 is a Disarium number.

Run the script to check if the number is a Disarium number.

How the Program Works

The program defines a function count_digits to count the number of digits in a given number.
The is_disarium function checks if a number is a Disarium number by summing the digits each raised to the power of its position.
The program tests the is_disarium function with a sample number (replace it with your desired number).

Between the Given Range

Let's take a look at the Python code that checks for Disarium numbers in the range from 1 to 100.

is_disarium.py

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def is_disarium(num):
    num_str = str(num)
    length = len(num_str)
    total = sum(int(digit) ** (index + 1) for index, digit in enumerate(num_str))
    return total == num

# Display Disarium numbers in the range 1 to 100
disarium_numbers = [num for num in range(1, 101) if is_disarium(num)]

print("Disarium numbers in the range 1 to 100:")
print(" ".join(map(str, disarium_numbers)))

Testing the Program

Output

Disarium numbers in the range 1 to 100:
1 2 3 4 5 6 7 8 9 89

Run the script to see the Disarium numbers in the range 1 to 100.

How the Program Works

The program defines a function is_disarium that takes a number and checks if it is a Disarium number based on the specified criteria.
Inside the function, it converts the number to a string to extract individual digits.
It calculates the sum of each digit raised to the power of its respective position.
The main section generates a list of Disarium numbers in the range from 1 to 100 and prints them in the specified format.