The largest string which can be made is 9876543. The largest number depends on which functions are permitted.
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999 is the largest 3-digit number.
The largest number with three digits is 999.
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The largest one digit number that has three factors is 9. Its factors are 1, 3, and 9.
Let's start with 99999. It is 5 digits and the largest 5 digit number. Now it is odd, so let's find the largest replacement for the last 9 so we can make it even. That would be 8, so we have 99998. Now, let's just put a 3 in the thousands place and we have 93998