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Your script is very good :b:
Instead of the while loop you can use printf
DIR=$(printf "%04d" $DIR)
All in one:
# increment DIR and pad with leading zeros
DIR=$(printf "%04d" $((DIR+1)))

To give us more detail, can you tell us:-
What have you tried so far?
What are you most comfortable coding?
What OS and version are you using?
What shell are you using?
Most importantly:-...

Better to go with a script.

Could not recall any direct command.