Powers of Integers
Table showing a list of integers raised to integer powers (1 thru 10) for non-10 radixes.
Reciprocal Expansions
The repeating "decimal" expansion of 1/n. Period lengths, terminating fractions, and full-reptend primes all change with the base.
Harshad Numbers
Numbers divisible by their own digit sum. The set of Harshad numbers is totally different in every base.
Multiplicative Persistence
How many times must you multiply a number's digits together before reaching a single digit? The persistence landscape reshapes completely from base to base.
Fibonacci Numbers
The Fibonacci sequence is fixed, but the digit patterns are not. Palindromes and Pisano periods change with the base.