## Wednesday, March 08, 2006

### First class

Define the letter class of a whole number as the number of letters in that number. For example, the letter class of 16 (Sixteen) is 7, while the letter class of 7 (seven) is 5 and the letter class of 300 (three hundred) is 12. There is only one number between 1 and 5,000 that is theonly representative of it's class. Care to find it?

I'll put a hint in the comments section.

1. The letter class is 13.

3. 3000 is the number we're looking for with a letter class of 13.

Four isn't in the letter class 13. I know, I know, this one was a lot harder than the normal ones you see around here.

4. Oh, I get it, 3000 is the only number with a class of 13, not the number that is the same as its class.

5. 101, 102, 106, 110, 201, 202, 206, 210, 601, 602, 610 are all in the letter class of 13
ONEHUNDREDONE
ONEHUNDREDTWO
ONEHUNDREDSIX
ONEHUNDREDTEN
TWOHUNDREDONE
TWOHUNDREDTWO
TWOHUNDREDSIX
TWOHUNDREDTEN
SIXHUNDREDONE
SIXHUNDREDTWO
SIXHUNDREDSIX
SIXHUNDREDTEN
THREETHOUSAND

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