# How do I find my Kaprekar number?

## How do I find my Kaprekar number?

Kaprekar Number in C++ Take a number. Find the square of that number. Divide the number into two parts. If the sum of the two parts is equal to the original number, then the number is called kaprekar number.

Why 6174 called magical number?

6174 is known as Kaprekar’s constant after the Indian mathematician D. R. Kaprekar. This number is notable for the following rule: Take any four-digit number, using at least two different digits (leading zeros are allowed).

Is 5292 a Kaprekar number?

There are infinitely many Kaprekar numbers and first few of them are 1, 9, 45, 55, 99, 297, 703, 999, 2223, 2728, 4879, 4950, 5050, 5292, 7272, 7777, 9999, (A006886 in OEIS).

### Is 998 a Kaprekar number?

They are apparently intended to prevent the 102=10 0 case, but also prevent legitimate Kaprekar numbers like 9992=998001, 998+001=999 and 2973 = 26198073, 26+198+073 = 297.

What is meant by Kaprekar number?

In mathematics, a natural number in a given number base is a -Kaprekar number if the representation of its square in that base can be split into two parts, where the second part has. digits, that add up to the original number. The numbers are named after D. R. Kaprekar.

Is 196 a Lychrel number?

The smallest number that is not known to form a palindrome is 196. It is the smallest Lychrel number candidate. The number resulting from the reversal of the digits of a Lychrel number not ending in zero is also a Lychrel number.

#### When was Dr Kaprekar born?

January 17, 1905D. R. Kaprekar / Date of birth

What can you do with the number 6174?

Kaprekar constant, or 6174, is a constant that arises when we take a 4-digit integer, form the largest and smallest numbers from its digits, and then subtract these two numbers. Continuing with this process of forming and subtracting, we will always arrive at the number 6174.

How is 4879 a Kaprekar number?

For example, 4879 in base 10 might not seem like a Kaprekar number because 4879 2 = 23804641 but 2380 + 4641 = 7021, not 4879. But we see that 238 + 4641 = 4879, so 4879 is a Kaprekar number after all.

## Is 50 a Kaprekar number?

The first few are 1, 9, 45, 55, 99, 297, 703, (OEIS A006886).

How is 1 a Kaprekar number?

The universal Kaprekar number 1 corresponds to the unitary divisor 1 of 10n – 1, which is why we allow unity as a Kaprekar number. For each n >= 1 , we disallow 10n as a Kaprekar number since it is the vacuous solution to (1) and (2) when N = 10n .

How 10 is a Kaprekar number?

The reason is because 10 x 10 = 100. Then you substring the right part with a length equals d = 2, that is digit count of original value (10), then the left part would be 1. So l = 1 and r = 00, l + r = 1, that is not equals to 10.

### Which of the following is a Kaprekar number?

A number is said to be a Kaprekar number if its square divided into two parts and the sum of the parts will be equal to the original number. Example: 45 is a Kaprekar number. Explanation: 452 = 2025 and 20+ 25 = 45 (which is equal to the original number).

What is the value of Kaprekar 45?

Kaprekar numbers are named after the famous Indian mathematician D. R. Kaprekar. One is a kaprekar number. And the split parts of its square representation should not be equal to zero. 45, itâ€™s square is 2025 which can be split into 20 and 25 whose sum is 45.

Is 2223 a Kaprekar number?

Note that a split resulting in a part consisting purely of 0s is not valid, as 0 is not considered positive. 2223 is a Kaprekar number, as 2223 * 2223 = 4941729, 4941729 may be split to 494 and 1729, and 494 + 1729 = 2223.

#### When is a positive integer a Kaprekar number?

A positive integer is a Kaprekar number if: The decimal representation of its square may be split once into two parts consisting of positive integers which sum to the original number. Note that a split resulting in a part consisting purely of 0s is not valid, as 0 is not considered positive.