Keywords
Matemáticas recreativas
, Teoría de números
How to Cite
Abstract
This article explores the fascinating world of Kaprekar's constant, the number 6174, a gem of recreational mathematics. In addition to commenting on the life of its discoverer, Dattatreya R. Kaprekar, it details the simple algorithm that, starting from almost any four-digit number, inevitably converges to 6174. Through examples and graphic visualizations, the universality of this "number attractor" is demonstrated, revealing how complex and predictable patterns
References
• Dolan, S. (2011). A classification of Kaprekar constant. The Mathematical Gazette, 95, 437-443. https://doi.org/10.1017/S0025557200003533
• Iannucci, D. E. (2000). The Kaprekar numbers. Journal of Integer Sequences, 3(1). https://www.researchgate.net/publication/241579279_The_Kaprekar_Numbers
• Mahaboob, B., HariKrishna, Y., Bindu, P., Kishore, S. N., Narayana, C., Harnath, Y. y Praveen, J. P. (2023). Hunting for Kaprekar constants. 1st International Conference on Essence of Mathematics and Engineering Applications: ICEMEA 2021, 2707(1). https://doi.org/10.1063/5.0143357
• Nishiyama, Y. (2006). Mysterious number 6174. Plus. https://plus.maths.org/mysterious-number-6174
• Weisstein, E. W. (s. f.). Kaprekar number. Wolfram Ma¬thWorld. https://mathworld.wolfram.com/KaprekarNumber.html
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright (c) 2026 Universidad Autónoma Metropolitana