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Generating the digits in a base system by repeated multiplication of a number

All of the digits in base-10, i.e. {0, 1, 2, ..., 9}, each appear in at least one of these terms, and 32768 is the first term to contain the digit 7. … Observation 1: For any numeral system base-b, we can construct a number with digital potency of 1 by simply concatenating the digits {0, 1, 2, ..., b-1}. …
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