A faulty car odometer proceeds from digit 3 to digit 5, always skipping the digit 4, regardless of position. For example, after traveling one mile the odometer changed from 000039 to 000050. If the odometer now reads 002005, how many miles has the car actually traveled?
This must be an Alcumus question. Please do not cheat on your Alcumus. Otherwise, you could possibly be reported to the AoPS Student Services.