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Properties Enjoyed By The Highest Digit In A Base Other Than The Base 10, Sudhir Goel, Kathy Simons
Properties Enjoyed By The Highest Digit In A Base Other Than The Base 10, Sudhir Goel, Kathy Simons
Georgia Journal of Science
The number nine in base ten enjoys some nice arithmetic properties. In this paper, we show that these properties are not intrinsic to the number nine; in fact, they are true for the largest digit in any base b. Four properties involving the final sums of all the digits of a number in a non-decimal base are explored and proofs of these properties are given in the appendix.