Question 37
Joãozinho wrote the numbers from $1$ to $100000$ on the board, then replaced each number by the sum of its digits and repeated the process until he had a list of $100000$ one-digit numbers. For example, starting with $7234$ gives $7+2+3+4=16$ and then $1+6=7$.
a. What number replaced $98765$?
b. How many times does $8$ appear in the final list?
c. Which number occurs most often?
a. What number replaced $98765$?
b. How many times does $8$ appear in the final list?
c. Which number occurs most often?