Kaprekar Number
D R Kaprekar (1905 - 1986)
A Kaprekar number is a special n digit number such that if it is squared the sum of the squared quantity’s right most n digits and remaining part are equal to the number itself.
45^2 = 2025 and 20 + 25 = 45
703^2 = 494 209 and 494 + 209 = 703
99^2 = 9801 and 98 + 01 = 99
The first few Kaprekar numbers are -
1, 9, 45, 55, 99, 297, 703, 999, 2223, 2728, 4879, 4950, 5050, 5292, 7272, 7777, 9999, 17344, 22222, 38962, 77778, 82656, 95121, 99999, 142857, 148149, 181819, 187110, 208495, 318682, 329967, 351352, 356643,-----
The Kaprekar numbers were named after Shri Dattathreya Ramchandra Kaprekar who discovered them.
Dr Rajesh Kumar Thakur
A Kaprekar number is a special n digit number such that if it is squared the sum of the squared quantity’s right most n digits and remaining part are equal to the number itself.
45^2 = 2025 and 20 + 25 = 45
703^2 = 494 209 and 494 + 209 = 703
99^2 = 9801 and 98 + 01 = 99
The first few Kaprekar numbers are -
1, 9, 45, 55, 99, 297, 703, 999, 2223, 2728, 4879, 4950, 5050, 5292, 7272, 7777, 9999, 17344, 22222, 38962, 77778, 82656, 95121, 99999, 142857, 148149, 181819, 187110, 208495, 318682, 329967, 351352, 356643,-----
The Kaprekar numbers were named after Shri Dattathreya Ramchandra Kaprekar who discovered them.
Dr Rajesh Kumar Thakur
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