US EditionAdditive and multiplicative persistence
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Additive and multiplicative persistence
Casting out nines is a well-known way of finding the remainder when a number is divided by 9. You add all the digits of a number n. And if that number is bigger than 9, add all the digits of that number. You keep this up until you get a number less than 9. This is an example of persistence. The persistence of a number, relative to some operation, is the number of times you have to apply that operation before you reach a fixed point, a point wher…
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