Number Names



Think of any number from 1 through 100. (Say 10)
Write down its name. (ten)
Count the number of letters in its name to obtain a second number. (3 letters)
Count the number of letters in the second number to obtain a third number. (three,5 letters)
Continue in this way until the chain of numbers ends on a number that keeps repeating.
What is the final repeating number? 
It will always be the same number.  Why ?

Created by Martin Gardner.