Kaprekar's constant (6174)
Constante de Kaprekar (6174)
- Date
- 1949 · confidence high
- Place
- Devlali, Nashik, Maharashtra, India
- Credited to
- D. R. Kaprekar
- People
- 👤 Dattatreya Ramachandra Kaprekar1905–1986
- Field
- Knowledge & symbols
What was discovered
If the digits of a four-digit number (not all identical) are arranged from largest to smallest and from smallest to largest and subtracted, repeating the process always reaches 6174 within seven steps at most. It is a classic result in recreational mathematics.
What it led to
- study of Kaprekar routines in other bases and lengths
- popular mathematics