Fascinating Cab Numbers: Unraveling a Mathematical Puzzle

This article delves into the mathematical enigma of 'Cab numbers,' which are numbers formed by the product of two factors whose digits, excluding zero, combine to form the same digits as the product. The article presents methods for solving Cab numbers with 3 to 9 digits, providing the count, minimum, and maximum values for each digit range. The author utilizes a Fortran program to compute these Cab numbers, analyzing the properties of their digital roots. The article concludes by listing some results and extending the exploration to scenarios involving three or more factors.