Harshad Number in Python

Harshad Number in Python

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Harshad Number:

A Harshad number is one whose original number is divisible by the sum of its digits.

like 5 , 18 , 156 etc.

Example 1:

Input:

number=18

Output:

18 is harshad number

Explanation:

Here sum_of_digits=9 i.e (1+8 ) and 18 is divisible by 9

Example 2:

Input:

number=19

Output:

19 is not harshad number

Explanation:

Here sum_of_digits=10 i.e (1+ 9 ) and 19  is not divisible by 10

Harshad Number in Python

Below are the ways to check harshad number in python

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Method #1: Using while loop

Algorithm:

  • Scan the input number
  • Make a copy of the number so you can verify the outcome later.
  • Make a result variable ( set to 0 ).
  • Create a while loop to go digit by digit through the number.
  • Every iteration, increase the result by a digit.
  • Divide the result by the number’s duplicate.
  • If a number divides perfectly, it is a Harshad Number; otherwise, it is not.

Below is the implementation:

# given number
num = 18
# intiialize sum of digits to 0
sum_of_digits = 0
# copy the number in another variable(duplicate)
dup_number = num
# Traverse the digits of number using for loop
while dup_number > 0:
    sum_of_digits = sum_of_digits + dup_number % 10
    dup_number = dup_number // 10
# It is harshad number if sum of digits is equal to given number

if(num % sum_of_digits == 0):
    print(num, "is harshad number")
else:
    print(num, "is not harshad number")

Output:

18 is harshad number

Method #2: By converting the number to string and Traversing the string to extract the digits

Algorithm:

  • Using a new variable, we must convert the given number to a string.
  • Iterate through the string, convert each character to an integer, and add the result to the sum.
  • If a number divides perfectly, it is a Harshad Number; otherwise, it is not.

Below is the implementation:

# given number
num = 18

# Converting the given number to string
numString = str(num)

# intiialize sum of digits to 0
sum_of_digits = 0

# Traverse through the string
for char in numString:
  # Converting the character of string to integer and adding to sum_of_digits
    sum_of_digits = sum_of_digits + int(char)


# It is harshad number if sum of digits is equal to given number

if(num % sum_of_digits == 0):
    print(num, "is harshad number")
else:
    print(num, "is not harshad number")

Output:

18 is harshad number

Method #3: Using list and map

Algorithm:

  • Convert the digits of given number to list using map function.
  • Calculate the sum of digits using sum() function.
  • If a number divides perfectly, it is a Harshad Number; otherwise, it is not.

Below is the implementation:

# given number
num = 18
# Converting the given number to string
numString = str(num)
# Convert the digits of given number to list using map function
numlist = list(map(int, numString))
# calculate sum of list
sum_of_digits = sum(numlist)

# It is harshad number if sum of digits is equal to given number
if(num % sum_of_digits == 0):
    print(num, "is harshad number")
else:
    print(num, "is not harshad number")

Output:

18 is harshad number

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