# Python Program to Check Whether the given Number is Strong Number or Not

Strong number:

A Strong number is a special number in which the total of all digit factorials equals the number itself.

Ex: 145 the sum of factorial of digits = 1 ! + 4 ! +5 ! = 1 + 24 +125

To determine whether a given number is strong or not. We take each digit from the supplied number and calculate its factorial , we will do this for each digit of the number.

We do the sum of factorials once we have the factorial of all digits. If the total equals the supplied number, the given number is strong; otherwise, it is not.

Given a number the task is to check whether the given number is strong number or not.

Examples:

Example1:

Input:

given number = 145

Output:

The given number 145 is strong number

Example2:

Input:

given number = 176

Output:

The given number 176 is not a strong number

## Python Program to Check Whether the given Number is Strong Number or Not

There are several ways to check whether the given number is strong number or not some of them are:

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To determine if a number is a strong number or not, divide it into distinct units by each of its digits. The factorial of each of the digits is then computed. Then we will add the values received after the factorial operation for each of the digits. Finally, it must be determined whether this sum equals the supplied number. If the answer is yes, the number is a strong number.

### Method #1:Using While loop and writing original factorial function

Approach:

1. Obtain the desired number as input to determine if it is a strong number, or provide the input number as static.
2. Let’s create a variable called N to hold this input number.
3. Put the value of N in a temporary variable called tempNum.
4. Set a variable, say totalSum to zero. This will save the factorial sum of each of N’s digits.
5. The number’s final digit must be saved in a variable, such as last_Digit = N % 10.
6. last_Digit  factorial must be kept in a variable, say factNum.
7. When the factorial of the last digit is found, it should be added to the totalSum = totalSum+ factNum
8. Following each factorial operation, the number must be reduced in terms of units by dividing it by ten that is  N = N /10
9. Steps 4–7 should be repeated until N > 0.

Below is the implementation:

# python program to cheeck whether the given numner is strong number or not
def checkStrongNumb(givenNumb):
# Taking a variable totalSum and initializing it with 0
totalSum = 0
# Take a temporary variable and store the given number (givenNumb)
# in the temporary variable tempNum
tempNum = givenNumb
# using while to extract digit by digit of the given number
while(givenNumb):
s = 1
factNum = 1
# Getting the last digit of the given number
remainder = givenNumb % 10
# calculating the factorial of the digit(extracted by remainder variable)
while(s <= remainder):
factNum = factNum * s
s = s + 1
# Adding the factorial to the totalSum
totalSum = totalSum + factNum
# Dividing the given number by 10
givenNumb = givenNumb//10
# checking if the totalSum is equal to the given number
# if it is true then it is strong number then return true
if(totalSum == tempNum):
return True
# if nothing is returned then it is not a strong number so return False
return False

# Given number
given_numb = 145
# passing the givennumber to checkStrongNumb to check whether it is strong number or not
if(checkStrongNumb(given_numb)):
print("The given number", given_numb, "is strong number")
else:
print("The given number", given_numb, "is not a strong number")


Output:

The given number 145 is strong number

### Method #2:Using While loop and factorial() function

We use the factorial() function to do the above problem quickly

Approach:

1. Obtain the desired number as input to determine if it is a strong number, or provide the input number as static.
2. Let’s create a variable called N to hold this input number.
3. Put the value of N in a temporary variable called tempNum.
4. Set a variable, say totalSum to zero. This will save the factorial sum of each of N’s digits.
5. The number’s final digit must be saved in a variable, such as last_Digit = N % 10.
6. Calculate the factorial of the last_Digit using math.factorial() function
7. When the factorial of the last digit is found, it should be added to the totalSum = totalSum+ factNum
8. Following each factorial operation, the number must be reduced in terms of units by dividing it by ten that is  N = N /10
9. Steps 4–7 should be repeated until N > 0.

Below is the implementation:

# importing math module
import math
# python program to cheeck whether the given numner is strong number or not

def checkStrongNumb(givenNumb):
# Taking a variable totalSum and initializing it with 0
totalSum = 0
# Take a temporary variable and store the given number (givenNumb)
# in the temporary variable tempNum
tempNum = givenNumb
# using while to extract digit by digit of the given number
while(givenNumb):
s = 1
factNum = 1
# Getting the last digit of the given number
remainder = givenNumb % 10
# calculating the factorial of the digit(extracted by remainder variable)
# using math.fatorial function
factNum = math.factorial(remainder)
# Adding the factorial to the totalSum
totalSum = totalSum + factNum
# Dividing the given number by 10
givenNumb = givenNumb//10
# checking if the totalSum is equal to the given number
# if it is true then it is strong number then return true
if(totalSum == tempNum):
return True
# if nothing is returned then it is not a strong number so return False
return False

# Given number
given_numb = 145
# passing the givennumber to checkStrongNumb to check whether it is strong number or not
if(checkStrongNumb(given_numb)):
print("The given number", given_numb, "is strong number")
else:
print("The given number", given_numb, "is not a strong number")


Output:

The given number 145 is strong number

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