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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.
Jun 22, 2024 · 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 ).
Apr 15, 2024 · In this example, the checkHarshad function examines whether a number is a Harshad number by verifying if the sum of its digits is divisible by the number itself. If it is, it returns “Yes”; otherwise, it returns “No”.
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. All 1-digit numbers and the base number itself are Harshad numbers. 1, 2, 4 and 6 are always Harshad numbers regardless of the base.
A number is a Harshad (also called Niven) number if it is divisible by the sum of its digits. For example, 666 is divisible by 6+6+6 so it is a Harshad number.
