Harshad Number in Python

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

Below are the ways to check harshad number in python

Using while loop
By converting the number to string and Traversing the string to extract the digits
Using list and map

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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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