The adverbs I would use in such a situation is mindlessly "without intellectual involvement", or absentmindedly "resulting from preoccupation or absence of mind".

I absentmindedly typed my old password.
I keep mindlessly writing the wrong year on my checks.

The adverbs I would use in such a situation are mindlessly "without intellectual involvement", and absentmindedly "resulting from preoccupation or absence of mind".

I absentmindedly typed my old password.
I keep mindlessly writing the wrong year on my checks.