Python Program to Find Armstrong Numbers Within an Interval. An Armstrong number also known narcissistic number is a number that is equal to the sum of its own digits each raised to the power of the number of digits. This interesting property makes Armstrong numbers a popular topic in introductory programming courses. In this tutorial, we will write a Python program that can find all Armstrong numbers in a given interval.

## Table of Contents

## Writing the Python Program

The main component of our Python program will include:

- A function to determine if a number is an Armstrong number.
- A loop to iterate through an interval and apply the function.

### Function to Check Armstrong Numbers

Let’s start by writing a Python function to check if a number er is an Armstrong number.

```
def is_armstrong(number):
# Convert the number to a string to easily iterate over digits
digits = str(number)
power = len(digits)
sum_of_powers = sum(int(digit)** power for digit in digits)
return sum_of_powers == number
```

This function converts the number to a string to loop through each digit, raises it to the power of the number of digits, sums these values, and checks if the sum is equal to the original number.

### Finding Armstrong Number in an Interval

Now, We need to define our interval and use a loop to find all Armstrong numbers within the given range.

```
def find_armstrong_number(start,end):
armstrong_numbers = []
for number in range (start,end+1):
if is_armstrong(number):
armstrong_numbers.append(number)
return armstrong_numbers
```

This function iterates through each number in the specified interval and checks if it is an Armstrong number using our `'is_armstrong'`

function. If it is, the number is added to the list `'armstrong_number'`

.

### Running the Program

Finally, Let’s put it all together and run our function for a specific interval.

```
start = 100
end = 1000
# find and print all armstrong numbers in the interval
armstrong_in_interval = find_armstrong_number(start,end)
print(armstrong_in_interval)
```

Congratulations, you now have a Python script capable of identifying Armstrong numbers within a given interval.

*Happy Coding & Learning*

## See Also

## 2 thoughts on “Python Program to Find Armstrong Numbers Within an Interval”