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What is kaprekar number?

Updated: 9/24/2023
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10y ago

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A Kaprekar number is a number whose square can be split into two parts whose sum is the the original number. Both parts must be positive.

For example, 55^2 = 3025 and 30+25 = 55.


This is an example in base 10. Kaprekar also defined his number for other bases.

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Related questions

Which is the number that is named after Kaprekar?

Kaprekar and one that's so easy a 5 year old could answer it


How do you check whether a number is kaprekar or not in Java?

//To check whether a number is Kaprekar or not public class kaprekar { public static void main(int x)//Enter number { int num=x*x,no=x,digit=0; int rev=0; do { digit++; no=no/10; } while (no>0); no=num; while(digit > 0) { rev=rev*10+no%10; no=no/10; digit--; } int r=0; while(rev > 0) { r=r*10+rev%10; rev=rev/10; } if((r+no)==x) { System.out.println("It is a Kaprekar No. "); } else{ System.out.println("It is not a Kaprekar No. "); } } }


When did D. R. Kaprekar die?

D. R. Kaprekar died in 1986.


When was D. R. Kaprekar born?

D. R. Kaprekar was born on 1905-01-17.


What are the examples of Kaprekar Numbers?

42


How do you code a program to find kaprekar number?

import java.io.*; class kaprekar { public static void main(String args[])throws IOException { BufferedReader br=new BufferedReader(new InputStreamReader(System.in)); System.out.println("Enter any number"); int n=Integer.parseInt(br.readLine()); int t=n,count=0; while(n!=0) { n=n/10; count++; } int s=t*t; int p=(int)Math.pow(10,count); int ld=s%p; int minus=s-ld; int fd=minus/p; int sum=fd+ld; if(sum==t) { System.out.println("Kaprekar Number"); } else { System.out.println("Not a Kaprekar number"); } } }


What is a math fact about the number 99?

1/99 = 0.01 01 01 .. .. 99 is a Kaprekar number (as is any string of 9s) : 992 = 9801 and 98 + 01 = 99


Any 5 indian mathematicians and their contributions?

Aryabhata ramanujan bhaskara bhramagupta D.R. kaprekar check out the contributions by yourself.. ;) LOL


What math words begin with the letter K?

* Kanizsa Triangle * Kantor's Circle * Kaprekar's constant * Kaprekar's process * Kayles ** Grundy function for Kayles * Kiepert's Theorem * Kiepert's Perspector * Kirkman's Theorem ** Pascal Lines: Steiner and Kirkman Theorems II * Kitaoka's waves * Kite * Klein Bottle * Knots * Koch's snowflake * Königsberg * Königsberg Bridges * Kronecker's symbol * Kruskal's algorithm * Kurschak's Tile and Theorem


What are the rules fr multiplication and divisions of integers?

(positive number) x (positive number) = positive number (positive number)/(positive number) = positive number (positive number) x ( negative number) = negative number (positive number)/( negative number) = negative number (negative number) x (negative number) = positive number (negative number)/(negative number) = positive number


What is the formula for the atomic number?

atomic number = number of proton in an element number of proton = number of electron mass number = number of proton + number of neutron therefore... atomic number = mass number - number of neutrons


What does a negative number multiplied by a negative number equal to?

A positive number. Positive Number x Positive Number = Positive Number Positive Number x Negative Number = Negative Number Negative Number x Negative Number = Positive Number