Dattaraya Ramchandra Kaprekar was a reputed Indian Mathematician born in the town Devlali, Maharashtra. He served as a schoolteacher in his home town itself due to his lack of any sort of formal postgraduate training. He however did receive his bachelor’s degree in 1929 from the University of Bombay. Kaprekar mostly worked alone and his contributions to the field of number system are immense. He even has two results in the field named after him - the Kaprekar constant and the Kaprekar number.

Kaprekar Constant

Kaprekar proved that the result of the highest and lowest numbers that can be constructed from any four digit number with each different number after some iteration will always be the number ‘6174’. Similarly the Kaprekar constant for 3 digits is 495.

Example: 3743

7433 - 3347 = 4086

8640 - 0468 = 8172

8721 - 1278 = 7443

7443 - 3447 = 3996

9963 - 3699 = 6264

6642 - 2466 = 4176

7641 - 1467 = 6174

Kaprekar Number

Kaprekar numbers are those numbers that when squared, then two equal parts (if odd number of digits then leaves the larger portion to the right) of this square also add up to the original number.

Example: 297^2 = 88,209 and 88 + 209 = 297

 

Here at MathsOne, one of the Best Maths Tuition Centres in Kerala we educate our students in these famous Mathematicians of Indian origin who even has numbers and constants named after them.