Question

By using dattathreya kapprekars method what is his number?

Answer 1

Answer:

In 1949, Kaprekar discovered an interesting property of the number 6174, which was subsequently named the Kaprekar constant.[5] He showed that 6174 is reached in the limit as one repeatedly subtracts the highest and lowest numbers that can be constructed from a set of four digits that are not all identical. Thus, starting with 1234, we have:

   4321 − 1234 = 3087, then

   8730 − 0378 = 8352, and

   8532 − 2358 = 6174.

Repeating from this point onward leaves the same number (7641 − 1467 = 6174). In general, when the operation converges it does so in at most seven iterations.

                                               OR

7433 - 3347 = 4086

8640 - 0468 = 8172

8721 - 1278 = 7443

7443 - 3447 = 3996

9963 - 3699 = 6264

6642 - 2466 = 4176

7641 - 1467 = 6174