## MAGIC NUMBER 495 and 6174 IN MATHEMATICS #2

**Magic Number**:

**495**and

**6174**

Today's Article on Magic Number

**495**and**6174**which known as**KAPREKAR CONSTANT****495**and

**6174**Look at this number. Look like Ordinary???

Let I saw You all three digit numbers except this (111, 222, 333, 444, 555, 666, 777, 888, 999) Related to

**495**and all four digit number except this (1111, 2222, 3333, 4444, 5555, 6666, 7777, 8888, 9999) Related to**6174**.
Let start with take any three digit number. I choose 835. let we see that the number 835 Related to 495.

835

First step in the procedure is we're going to Rearrange the digits of 835 to make the largest number we can and we get the number is 853.

and next we're going to Rearrange the digits to make the smallest number we can and we get 358.

and now we do subtract 853 to 358.

853 - 358 = 495

we get the result 495 now do same procedure with this answer so we'll make the largest number we can 954 and we'll make the smallest number we can 459.

and now we do subtract 954 to 459

954 - 459 = 459

Repeat this process all time we get Magic Number

**495**.
**********#**********

Try Another

781

First
step in the procedure is we're going to Rearrange the digits of 781 to
make the largest number we can and we get the number is 871.

and next we're going to Rearrange the digits to make the smallest number we can and we get 178.

and now we do subtract 871 to 178.

871 - 178 = 963

we get the result 963 now do same procedure with this answer so we'll
make the largest number we can 963 and we'll make the smallest number we
can 369.

963 -369 = 594

we get the result 594 now do same procedure with this answer so we'll
make the largest number we can 954 and we'll make the smallest number we
can 459.

954 - 459 = 459

Repeat this process all time we get Magic Number

**495**.
**********#**********

Now see that how four number digits related to

**6174**
Similarly Procedure for four digit number.

5861

First
step in the procedure is we're going to Rearrange the digits of 5861 to
make the largest number we can and we get the number is 8651.

and next we're going to Rearrange the digits to make the smallest number we can and we get 1568.

and now we do subtract 8651 to 1568.

8651 - 1568 =7083

we
get the result 7083 now do same procedure with this answer so we'll make
the largest number we can 8730 and we'll make the smallest number we can 0378.

and now we do subtract 8730 to 0378

8730 - 0378 = 8352

Rearrange number largest are 8532 and smallest 2358 subtract this

8532 - 2358 = 6174

again same Rearrange number largest possible 7641 and smallest possible 1467 subtract this

7641 - 1467= 6174

Repeat this process all time we get Magic Number

**6174**.
**********#**********

four digit number except similar digit number(1111,2222,...,9999) are related to

**6174**.
Try this :)

**This Trick Discovered by

**Dattathreya Ramchandra Kaprekar****
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