In addition tables, determinants of any 2x2 square equal -1. Determinants of order 3 or higher are all 0. The sum of 4 entries in any such square is a square number . Multiplication tables conceal cubes and tetrahedral numbers . As we see, number systems with different bases have many features in common.
Some features are, of course, unique.
Base 3 has been used in some early computers. In base 3, numbers are represented with digits 0,1, and 2. Number systems serve the purpose of representing numbers in different ways. M.N. Bleicher, D. W. Crowe. The upside of such a representation is that the sign of a number is built in.