History News Desk!! Dattathreya Ramchandra Kaprekar (English: Dattathreya Ramchandra Kaprekar; born January 17, 1905, Dahanu, Maharashtra; died 1986 Deolali, Maharashtra) was an Indian mathematician. He made many contributions in the field of number theory, among which Kaprekar number and Kaprekar constant are prominent. Kaprekar number and Demlow number were discovered by Dattatraya Ramachandra.
brief introduction
Dattatraya Ramchandra Kaprekar was born on January 17, 1905 in Dahanu, Maharashtra. His primary education was in Thane and Pune, and his graduation was from Mumbai University. But he did not pursue a postgraduate degree in mathematics or any other subject. He was a school teacher in Nashik. Despite not having higher education in mathematics, he worked on number theory. Some constants and many numbers are known by their names. He was a well-known person in the field of recreational mathematics.[1] Due to not receiving higher education, mathematicians in India did not give him the respect that he should have received. His papers were also published in lower ranking mathematics journals. He used his own money to attend mathematics conferences and give lectures on numbers. He could not get financial help from anywhere since he was only a school teacher. He gained respect in India when Martin Gardner wrote about him in the March 1975 issue of Scientific American.
Kaprekar number and Demlow number
Now let us talk about Kaprekar number and Demlow number. Both these numbers are also discovered by our lesser known Maharashtrian mathematician Kaprekar ji. Kaprekar number: Any number (zero or greater) in a given base (we usually use the base 10 decimal system) whose square can be divided into two such multiples that by adding them we get back the initial number. Such a number is called Kaprekar number.
Harshad number
Harshad numbers have an interesting property, these numbers are divisible by the sum of their digits. Kaprekar called them Harshad numbers i.e. pleasurable numbers. For example let’s take the number 12. Now 1+2=3 The number 12 is divisible by the sum of its digits 3 i.e. it is Harshad number. These numbers are also called Niven numbers after the mathematician Ivan M. Niven.
demise
Dattatraya Ramchandra Kaprekar died in 1986 in Deolali, Maharashtra.
