The concept of Harshad number was given by D. R. Kaprekar, one of the great mathematicians from the country India. Harshad number or Niven number is any positive integer b that is divisible by its sum of digits (SOD). The term Niven number was coined by Ivan Morton Niven, a Canadian-American mathematician, who specializes in number theory.
As per the definition:
Harshad number b = number / sum of
digits
Below are some examples:
Number 12
Sum of digits = 1 + 2 => 3
Here, number 12 is divisible by its sum
of digits 3, and the resultant is 4.
Number 18
Sum of digits = 1 + 8 => 9
Here, number 18 is divisible by its sum
of digits 9, and the resultant is 2.
Number 72
Sum of digits = 7 + 2 => 9
Here, number 72 is divisible by its sum
of digits 9, and the resultant is 8.
Number 110
Sum of digits = 1 + 1 + 0 => 2
Here, number 110 is divisible by its sum
of digits 2, and the resultant is 55.
Number 135
Sum of digits = 1 + 3 + 5 => 9
Here, number 135 is divisible by its sum
of digits 9, and the resultant is 15.
Hope you have understood the concept of Harshad number or
Niven number. In case of any issue, kindly provide your valuable comments
regarding the same.
Comments
Post a Comment