Dattatreya Ramachandra Kaprekar

Dattatreya Ramachandra Kaprekar (1905 - 1988) is a Mathématicien Indian famous for his research on the Nombre S. One owes him the concept of Nombre of Kaprekar as well as the Algorithme of Kaprekar. Been sulky by its contemporaries, its work would have passed unperceived if it had not been relayed by Martin Gardner specialist in the mathematical enigmas.

Biography

Kaprekar was born in Dahanu close to Bombay in 1905. Child, the graphs, drawings and calculations of all kinds constitute his preferred pastime. He spends the hours without stopping trying to solve enigmas and problems of mathematics. He impassions himself very early for the numbers and returns in 1923 to the college Fergusson de Pune In 1927 it gains a mathematical price (Wrangler R.P. Paranjpe Mathematical Prize) for its original mathematical work. In 1929, he becomes teacher in a school of Devlali. He continues to work on the numbers. As he will say it even later him an alcoholic wishes to continue to drink to find a state of pleasure. He is the same for me relating to the nombres.

In 1962, it leaves teaching to take its retirement. But its pension is not enough for him to live and it must supplement it by multiples small trades. it continues nevertheless its research on the numbers which it publishes in several books which remain almost confidential until Garner speaks about him in 1975. He dies in 1988 in Devlali.

Mathematical contributions

About 1949, working on the writing of the numbers, he discovers the Constante of Kaprekar: the number 6174 (= 7641 - 1467) towards which converges any continuation built with a number of four digits and the Algorithme of Kaprekar.

Working on another algorithm, “to add to a number the sum of its figures in decimal writing”, he discovers the concept of generated number and Auto number.

Kaprekar was also interested in another category of numbers: the numbers of Demlo S.

Lastly, he studied the numbers of Kaprekar: number equal to the sum of the two numbers obtained by taking the square of the starting number and by cutting out it in two parts.

Example: 9 is a number of Kaprekar because 9 ² = 81 and 8 + 1 = 9.

It also contributes to discovered of the Nombre Harshad called also numbers of Niven: divisible number by the sum of its figures

See too

Related article

External bonds

  • Biography 1
  • Biography 2

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