Search results
In mathematics, a harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written in that base. Harshad numbers in base n are also known as n-harshad (or n-Niven) numbers. Harshad numbers were defined by D. R. Kaprekar, a mathematician from India. [1] .
Sep 11, 2023 · An integer number in base 10 which is divisible by the sum of its digits is said to be a Harshad Number. An n-Harshad number is an integer number divisible by the sum of its digit in base n. Below are the first few Harshad Numbers represented in base 10: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20………
A number is said to be the Harshad number if it is divisible by the sum of its digit. For example, if number is 156, then sum of its digit will be 1 + 5 + 6 = 12. Since 156 is divisible by 12. So, 156 is a Harshad number. Some of the other examples of Harshad number are 8, 54, 120, etc.
4 days ago · Harshad Number. A positive integer which is divisible by the sum of its digits, also called a Niven number (Kennedy et al. 1980) or a multidigital number (Kaprekar 1955). The first few are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20, 21, 24, ... (OEIS A005349 ).
Harshad number. When an integer is divisible by the sum of its digits, it’s called a Harshad number or Niven number. That is, given m is the number of digits of n and d is an integer of n, m ∑ i=1di|n ∑ i = 1 m d i | n.
May 25, 1999 · Harshad Number. A Positive Integer which is Divisible by the sum of its Digits, also called a Niven Number (Kennedy et al. 1980). The first few are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20, 21, 24, ... (Sloane's A005349 ).
Sep 6, 2017 · A base Harshad number is a positive integer that is divisible by the sum of its base digits. For example, in the decimal numeral system, 1729 is a Harshad number since 1 + 7 + 2 + 9 = 19, and 1729 = 19 × 91.
A harshad number is a positive integer which is divisible by the sum of its digits base 10 10 . Hence a harshad number is a Niven number base 10 10 . Sequence of Harshad Numbers. The sequence of harshad numbers begins: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20, 21, 24, 27, … 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20, 21, 24, 27, … Also see.
In mathematics, a harshad number (also known as a Niven number) is an integer that is divisible by the sum of its digits in a given base. A harshad number in base n is called an n-harshad number.
Nov 7, 2017 · What may be some fun to explore are Harshad Numbers in other bases. For instance there are (only) four numbers which are Harshad in every number base and one further (12) which is only non Harshad in a single base, so leave it to you to find those numbers and that base.
