2022

Happy Pi day!!!

Happy Pi day!!!

Kaprekar constant

The number 6174 is called the Kaprekar constant. It was discovered by the Indian Mathematician Kaprekar.

We get this constant if we perform certain routine calculations to any four-digit number.

The rule is

1. Take any 4 digit number.

2. Arrange the digits of the 4 digit number in descending and ascending order.

3. Subtract the smaller number from the bigger number

4. Repeat the steps from 2 for the answer obtained also.

Repeat the steps till you reach 6174.

We always end up with 6174. Once you reach 6174, the process will continue generating the same number.

Let us solve an example to understand this..

Kaprekar constant

Kaprekar Number

A Kaprekar number is

A number’s square divided into two parts such that the sum of its parts is equal to the original number.

Kaprekar Number

An example of this Kaprekar Number is explained in the following video.

D.R.Kaprekar

D.R.Kaprekar was a Nashik School Math teacher, He discovered several classes of Numbers and constants in the field of Number theory, which are named after him as Kaprekar Number and Kaprekar Constant.

Other discoveries include Self Numbers, Harshad Number and Demlo Number.

He became popular when Martin Gartner wrote about him on his article for ‘Mathematical Games for Scientific Americans’.

Nicolaus Copernicus

Nicolaus Copernicus was an astronomer who first proposed that the Earth and the other planets orbit around the Sun and also rotate on their own axis.

During Copernicus’ times, it was believed the Earth was at the center of the solar system and the Sun, the Moon and the planets revolve around the Earth.

His discovery of heliocentric theory with Sun at the center of the solar system was not accepted by the scholars of Philosophy, Astronomy and Religious fields during his time.

Galileo and Kepler developed and spread the Copernican theory.

By the late 18th century, the Copernican view of the solar system was almost universally accepted.

Nicolaus Copernicus