Introduction

In this blog post, we will explore a Python program that identifies and prints all Disarium numbers within the range of 1 to 100. Disarium numbers are those whose sum of each digit, each raised to the power of its respective position, equals the number itself.

Python Program

def calculate_disarium_sum(number):
    num_str = str(number)
    disarium_sum = 0

    for i in range(1, len(num_str) + 1):
        digit = int(num_str[i - 1])
        disarium_sum += digit ** i

    return disarium_sum

def is_disarium(number):
    return number == calculate_disarium_sum(number)

def find_disarium_numbers(start, end):
    disarium_numbers = []

    for num in range(start, end + 1):
        if is_disarium(num):
            disarium_numbers.append(num)

    return disarium_numbers

# Example Usage
start_range = 1
end_range = 100
disarium_result = find_disarium_numbers(start_range, end_range)
print(f"The Disarium numbers between {start_range} and {end_range} are: {disarium_result}")

Program Explanation

1. The program defines a function calculate_disarium_sum to calculate the sum of digits each raised to the power of their respective position.

2. Another function is_disarium checks if a given number is a Disarium number by comparing it with the result obtained from calculate_disarium_sum.

3. The main function find_disarium_numbers iterates through the specified range and identifies Disarium numbers by calling the is_disarium function.

4. The Disarium numbers are stored in a list and returned.

5. The example usage demonstrates finding Disarium numbers between 1 and 100 and printing the result.

Example Output

For the specified range of 1 to 100, the output will be:

The Disarium numbers between 1 and 100 are: [1, 2, 3, 4, 5, 6, 7, 8, 9, 89]

Conclusion

This Python program effectively identifies and prints Disarium numbers within a specified range. The code demonstrates a clear implementation of the Disarium number concept, utilizing functions to enhance modularity.

Readers can experiment with different ranges and explore additional functionalities, such as finding Disarium numbers with a specific number of digits. Understanding and modifying this program will provide insights into the properties of Disarium numbers. Happy coding!