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CheckKishnamurthyNumber.js
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CheckKishnamurthyNumber.js
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/*
Problem statement and Explanation : https://www.geeksforgeeks.org/check-if-a-number-is-a-krishnamurthy-number-or-not-2/
krishnamurthy number is a number the sum of the all factorial of the all dights is equal to the number itself.
145 => 1! + 4! + 5! = 1 + 24 + 120 = 145
*/
// factorial utility method.
const factorial = (n) => {
let fact = 1
while (n !== 0) {
fact = fact * n
n--
}
return fact
}
/**
* krishnamurthy number is a number the sum of the factorial of the all dights is equal to the number itself.
* @param {Number} number a number for checking is krishnamurthy number or not.
* @returns return correspond boolean value, if the number is krishnamurthy number return `true` else return `false`.
* @example 145 => 1! + 4! + 5! = 1 + 24 + 120 = 145
*/
const CheckKishnamurthyNumber = (number) => {
// firstly, check that input is a number or not.
if (typeof number !== 'number') {
return new TypeError('Argument is not a number.')
}
// create a variable to store the sum of all digits factorial.
let sumOfAllDigitFactorial = 0
// convert the number to string for convenience.
let newNumber = number
// Extract number digits using the remainder method.
while (newNumber > 0) {
const lastDigit = newNumber % 10
// calculate each digit factorial.
sumOfAllDigitFactorial += factorial(lastDigit)
newNumber = Math.floor(newNumber / 10)
}
// if the sumOfAllDigitFactorial is equal to the given number it means the number is a Krishnamurthy number.
return sumOfAllDigitFactorial === number
}
export { CheckKishnamurthyNumber }