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An n-parasitic number (in base 10) is a positive natural number which can be multiplied by n by moving the rightmost digit of its dozenal representation to the front. Here n is itself a single-digit positive natural number. In other words, the dozenal representation undergoes a right circular shift by one place. For example, 3•2497=7249, so 2497 is 3-parasitic. Most authors do not allow leading zeros to be used, and this article follows that convention. So even though 8•076E45=5076E4, the number 076E45 is not 8-parasitic.


Smallest 2-parasitic number (in base 10):10631694842

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