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The Magic Number of Kaprekar
Last updated at June 18, 2025 by Teachoo
The Magic Number of Kaprekar
Class 6 (Ganit Prakash)
Chapter 3 Class 6 - Number Play (Ganita Prakash)
- Numbers can Tell us Things, Supercells,
- Supercells
- Supercells in a grid (Page 58)
- Patterns of Numbers on the Number Line, Playing with Digits
- Playing with Digits
- Pretty Palindromic Patterns
-
The Magic Number of Kaprekar
- Clock and Calendar Numbers
- Figure it out - Page 64, 65
- Mental Math
- Playing with Number Patterns, and Collatz Conjecture!
- Simple Estimation
- Estimate the answer - Page 70, 71
- Games and Winning Strategies
- Figure it out - Page 72, 73
Transcript
The Magic Number of Kaprekar "The Magic Number of Kaprekar," also known as Kaprekar's constant, is the number 6174. It is part of a fascinating mathematical process discovered in 1949 by a school teacher from Maharashtra named D.R. Kaprekar. The magic lies in a procedure that, when applied to almost any 4-digit number, will always lead to 6174. Note: The 4-digit number should have atleast two different digits Steps are this – for number 6382 If we keep on doing this, in some iteration we will get 6174 Thus, for number 8632, we get Kaprekar’s constant in 3rd round Now, let’s check Kaprekar’s constant for number 2025
