Strange Planet by Nathan W. Pyle

It's not that a system based on base 6 would be strange. That'd be a logical system, too. Just as any other system that consistently uses a particular base.

However, a system that uses numbers of base whatever but then proceeds to jump from one unit to the next one in completely arbitrarily sized steps such as 3; 22; 10; 8; 3 is illogical in any base.