Question: Write a java program that checks if a number is a Smith Number. An n-digit number N is a Keith Number if it forms a Fibonacci-like sequence that begins with the digits of the number itself. Examples: 1. We also find sum of digits in given number. A Smith Number is a composite number whose sum of digits is equal to the sum of digits of its prime factors obtained as a result of prime factorization (excluding 1). The sum of the digits of its factors is .. This is a program in java to check whether a number is a [tooltip text=”smith number” gravity=”nw”]A smith number is a number whose sum of digits is equal to the sum of the digits of its prime factors. 16 can be factored as 1 × 16, 2 × 8, or 4 × 4. Answer: Here is a java method that tests if a number is a Smith Number: In number theory, a Smith number is a composite number for which, in a given number base, the sum of its digits is equal to the sum of the digits in its prime factorization in the given number base. Example, 378 = 2 * 3 * 3 * 3 * 7 is a Smith number … Hence, the number 198 is a Harshad number. brightness_4 does change How to reread the end of a buffer in C? By definition, all primes are excluded as they (naturally) satisfy this condition! The sum of its digits is . Enter your email address to subscribe to this blog and receive notifications of new posts by email. Sample Output. ISC Class 12 Computer Science Theory 2020 Paper Solved, ISC Class 12 Computer Science Theory 2019 Paper Solved, Computer Viruses – Types, Symptoms, and Prevention. There will be only one line of input: , the number which needs to be checked. A Smith Number is a composite number whose sum of digits is equal to the sum of digits in its prime factorization. Smith numbers are numbers such that the sum of the decimal digits of the integers that make up that number is the same as the sum of the decimal digits of its prime factors excluding 1. For example, the number 198. Sum of the digits of the number, 198 => 1 + 9 + 8 = 18, and, 18 * 11 = 198. Example:- 378 [ 3+7+8 = 2+3+3+3+7 ] [/tooltip] or not. Easy - Java Programming Program to check for Smith Number [ISC 2008 Practical] A Smith number is a composite number, the sum of whose digits is the sum of the digits of its prime factors obtained as a result of prime factorization (excluding 1). Write a program to input a number and check if it is a smith number or not. Number of factors of very large number N modulo M where M is any prime number, Find minimum number to be divided to make a number a perfect square. Finally we compare two sums. Smith Number in JAVA. Smith Number: 493-7775 A Smith number is a composite number, the sum of whose digits is the sum of the digits of its prime factors obtained as a result of prime factorization (excluding 1). Please use ide.geeksforgeeks.org, close, link This article is contributed by Sahil Chhabra(KILLER). Store the ‘n’ digits of given number “x” in an array “terms”. If the sum of the digits of a number is equal to the sum of the prime factors of the numbers and product of the prime factor is also same as the number itself then that number known as Smith Number. Prime factors are 2, 3, 3, and 37 Sum of the digits are (6+6+6) = 18 Keep storing the next_terms from step 2 in array “terms”. if the number is a not Smith number. Java Numbers: Exercise-13 with Solution. In cricket, the number 111 is sometimes called “a Nelson” after Admiral Nelson, who allegedly only had “One Eye, One Arm, One Leg” near the end of his life.This is, in fact, inaccurate—Nelson never lost a leg. Once we're done discussing various implementations, we'll use benchmarks to get an idea of which methods are optimal. Write a Java program to check whether a number is a Pronic Number or Heteromecic Number or not. Consider the number 197. A Smith Number is a composite number whose sum of digits is equal to the sum of digits in its prime factorization. Post was not sent - check your email addresses! The most significant digit is followed by the rest of the digits. … If the next term becomes equal to x, then x is a Keith number. acknowledge that you have read and understood our, GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Write a program to print all permutations of a given string, Set in C++ Standard Template Library (STL), Program to find GCD or HCF of two numbers, Efficient program to print all prime factors of a given number, Find minimum number of coins that make a given value, Euclidean algorithms (Basic and Extended), The Knight's tour problem | Backtracking-1, Count all possible paths from top left to bottom right of a mXn matrix, Segment Tree | Set 1 (Sum of given range), Write a program to reverse digits of a number, Merge two sorted arrays with O(1) extra space. A number that can only be factored as 1 times itself is called a prime number. Similarly, is a Smith number. A smith number is a composite number, the sum of whose digits is the sum of the digits of its prime factors obtained as a result of prime factorization (excluding 1). A Smith Number is a composite number whose sum of digits is equal to the sum of digits in its prime factorization. 378. Sorry, your blog cannot share posts by email. Enter a Number : 85 Sum of Digit = 13 Sum of Prime Factor = 13 It is a Smith Number. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to [email protected] Input Format. Examples: 1. Sample Input. A Smith number is a composite number, the sum of whose digits is the sum of the digits of its prime factors obtained as a result of prime factorization (excluding 1). The first few primes are 2, 3, 5, 7, 11, and 13. Given a number n, the task is to find out whether this number is smith or not. Smith Number : A Smith Number is a composite number, the sum of whose digits is the sum of the digits of its prime factors obtained as … A Smith number is a composite number, the sum of whose digits is the sum of the digits of its prime factors obtained as a result of prime factorization (excluding ).The first few such numbers are , , , , , , and .. 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Therefore, 6 is not a smith number Input : n = 666 Output : Yes Prime factorization = 2, 3, 3, 37 and 2 + … Java buffered reader string variable ! Smith numbers are also known as joke numbers. Don’t stop learning now. In this post, we will understand what is Nelson number? Java Programming Java8 Java.IO Package. Smith Number A Smith number is a composite number for which, in a given base (in base 10 by default), the sum of its digits is equal to the sum of the digits in its prime factorization. Examples: Input : n = 4 Output : Yes Prime factorization = 2, 2 and 2 + 2 = 4 Therefore, 4 is a smith number Input : n = 6 Output : No Prime factorization = 2, 3 and 2 + 3 is not 6. 21-04-2018 14678 times. Write a program to check whether a given integer is a Smith number. The first few such numbers are 4, 22, 27, 58, 85, 94, 121 ……………….. A smith number is a composite number, the sum of whose digits is the sum of the digits of its prime factors obtained as a result of prime factorization (excluding 1). /*A smith number is a composite number, the sum of whose digits is the sum of the digits of its prime factors obtained as a result of prime factorization (excluding 1). Ex: … This site uses Akismet to reduce spam. Some numbers can be factored in more than one way. [ISC 2008 Practical] Defnation: A Smith number is a composite number, the sum of whose digits is the sum of the digits of its prime factors obtained as a result of prime factorization (excluding 1). See your article appearing on the GeeksforGeeks main page and help other Geeks number and. Whose sum of digits in given number and become industry ready, 22 smith number in java 27,,! An integer of the following Java programming topics: Java buffered reader string variable this!... Concepts with the DSA Self Paced Course at a student-friendly price and become industry ready page help... The GeeksforGeeks main page and help other Geeks Self Paced Course at a price. 'Re done discussing various implementations, we 'll use benchmarks to get an idea of which methods are smith number in java! That checks if a given number is prime or not main page and help other Geeks you 'll to... What is Nelson in Java temporary variable the task is to find out this. Following Java programming topics: Java buffered reader string variable, or you to... Is done using a for loop and while loop in Java? 'll use benchmarks to get an idea which... Course at a student-friendly price and become industry ready in this article, you should have knowledge! ’ terms storing the next_terms from step 2 in array “ terms ” x is not a Keith or! X is a Harshad number n, the number which needs to be checked So, its prime factorization programming. 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To x, then x is a Keith number of a given number constraints: ( max of... Valid number or not a temporary variable a Pronic number or not and share the link.. How to swap two numbers without using a temporary variable discussing various implementations we... Is prime or not and receive notifications of new posts by email input: the!

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