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Persistence of a number
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== Examples == The additive persistence of 2718 is 2: first we find that 2 + 7 + 1 + 8 = 18, and then that 1 + 8 = 9. The multiplicative persistence of 39 is 3, because it takes three steps to reduce 39 to a single digit: 39 β 27 β 14 β 4. Also, 39 is the smallest number of multiplicative persistence 3.
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