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MAGICAL Indian Math Discovery - Numbers 495 and 6174 (Kaprekar Constants)


MAGICAL Indian Math Discovery - Numbers 495 and 6174 (Kaprekar Constants)

The Indian mathematician Dattaraya Ramchandra Kaprekar discovered the number 6174 is reached after repeatedly subtracting the smallest number from the largest number that can be formed from any four digits not all the same. The number 495 is similarly reached for three digit numbers.

Kaprekar routine

Mysterious Number 6174

Magic Number 495

Number 6174 and 495

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Magical Number 6174 Kaprekar's Constant

6174 is known as Kaprekar's constant after the
Indian mathematician
D. R. Kaprekar.
This number is special because if we Take any four-digit number, using at least two different digits. (Leading zeros are allowed.) and Arrange the digits in descending and then in ascending order to get two four-digit numbers.
Then if we Subtract the smaller number from the bigger number and Go back to step 2 and repeat we will eventually get this magical number 6174

sourse :-


Mysterious Magic Number '6174' | Kaprekar's Constant | TalentSprint

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6174 - Numberphile

6174 is also known as Kaprekar's Constant.
More links & stuff in full description below ↓↓↓

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Real fun & beauty of Math kaprekar constant 6174 & 495

• Hi everyone today we are talking about the fun facts about math these time the number 6174 and 495 these two number is known as the Kaprekar's constant. kaprekar was an Indian recreational mathematician.without having any formal postgraduate training. and he worked as a school teacher. Now let's see how we can find kaprekar's constant 6174 form any four digits and 495 form any three-digit number. Firstly we need to take a four-digit number we can choose any four digit number but keep in mind that we can't choose these type of four digit number that's all digit is same just like (1111 2222 3333 4444 5555) we should choose at least one different digit from the other three may be four different or two different two same it's does not matter it can be any four digits number without the same four-digit number. so in here, we choose a four-digit number that's is 3699.then first thing we need to do rearrange the number first largest digit than the second largest digit and so on these arrangements for this number (3699) will be (9963). again rearrange the number just like the first lowest digit than the second lowest digit and so on these arrangements for this number (3699) will be (3699). then subtract the lowest number from the highest number. after subtraction, we got the number (9963-3699)=6264. according to these procedures in the second iteration, we got (6642-2466)=4176 and then the third iteration we got (7641-1467)=6174. well, here we find the kaprekar's constant for the four digits number. once we got kaprekar constant then any farther iteration result will always be kaprekar's constant(6174). this same procedure is applicable for any three digit number these time the constant will be 495. I think that's the little bit crazy and interesting. Thanks a lot for watching this.
• Here have my another video that about a very mysterious number 9 & also key to this Universe

• Real fun & beauty of Math Number 9 || Key to the Universe Part-1

• Real fun & beauty of Math Number 9 || Key to the Universe Part-2

6174 (Kaprekar Constant)

6174 is a unique number if you solve a number as shown in the video you will get a constant that will keep repeating itself known as Kaprekar Constant.
This Video will illustrate some problems and show how it works!
Please Subscribe if you like the video!

Background Music:
Wallpaper- Kevin Mcleod

6174 - Indian Mathematician's Magical Number | Being Student

6174 - Indian Mathematician's Magical Number | Being Student

Kaprekar Wikipedia Link -


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Kaprekar number

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Número Raro ll Constante de Kaprekar ll ElProfeJose

Número Raro?. En este vídeo te muestro unos de los números mas maravillosos dentro de las matemáticas. Este número es el 6174, conocido como la constante de Kaprekar.
Dattatreya Ramachandra Kaprekar. (1905-1986) fue un matemático indio cuyo nombre es asociado con una serie de conceptos en la teoría de números.
Cuadrado Mágico:

Kaprekar constant -- 6174 (Magic number)

Dattatreya Ramachandra kaprekar is great Indian mathematician he created kaprekar constant 6174

MATEMÁTICAS: constante de Kaprekar

¿Sabes que si sigues estos pasos matemáticos, con números de 4 dígitos, siempre obtienes el 6174?

Kaprekar number in java

Constante de Kaprekar

En este video se muestra que es la constante de kaprekar, de donde sale y algunos ejemplos para hallarla.

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Número Magico 6174 - Constante de Kaprekar -

Forma de Hallar el número 6174
de forma iterativa por permutación de los dígitos.

Análisis de la constante de Kaprekar

La constante de Kaprekar es una propiedad de los números. Generalmente se atiende desde el caso de números de cuatro cifras. Aquí analizamos esa propiedad; veremos que está íntimamente ligada a las Leyes del 9.
También les quiero recordar que esto es una investigación independiente y ojalá gusten apoyarnos compartiendo, comentando, suscribiéndose o marcando like. Gracias.



Wunderwelt der Mathematik - Die Kaprekar-Konstante "6174"

Es ist manchmal unglaublich, was Mathematiker alles rausbekommen. Der indische Mathematiker Dattathreya Ramachandra Kaprekar hat die nach ihm benannte Kaprakarkonstante 6174 rausbekommen, als er vierstellige Zahlen untersucht hat.
Leider wird (nach unserer Recherche) nirgends berichtet, was ihn zu solchen Untersuchungen bewogen hat und was er letzten Endes damit anfängt, aber es ist schon beeindruckend.
Wie man auf die Kaprakarkonstante kommt - den ganzen Weg dahin zeigt Dir unser Onlinedozent Stefan Gelhorn in diesem Video.

Kaprekar Steps

Problem Statement:

6174 is the Kaprekar constant. All natural numbers less than 10,000 (except some with same digits) can be reduced to 6174 in the following steps:

Order the digits of the number in descending and ascending order and compute the difference. Repeat the process till you get 6174.

Your code should return the number of Kaprekar steps for a given input.

For example, choose 3524:

5432 – 2345 = 3087
8730 – 0378 = 8352
8532 – 2358 = 6174

Output: 3

You can get the code here:

Magic Number 142857

142857, looks like very ordinary but it is a very unique and interesting number. Watch the video and learn more about this amazing number...

6174 -Number Lovers

Magic Number 6174 || जादुई संख्या 6174 ||

see this video to know why 6174 is magic Number.
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