If you want to count all sub directories of the current directory whose name contains at least one number, you can do:
$ set -- *[0-9]*/
$ echo $#
For example, given this input:
$ ls -F
1/ 123dir/ bar/ di32r/ dir1/ file file1 file2 file3 myfile.txt
Where we have 4 directories whose names contain at least one digit, the commands above return:
$ set -- *[0-9]*/ && echo $#
4
This uses the $@ builtin array, but you can use an explicitly named one too:
$ numdirs=(*[0-9]*/)
$ echo "${#numdirs[@]}"
4
The idea is simply to populate an array with all elements matching the glob *[0-9]*/ (0 or more characters, a number, 0 or more characters and a / to limit to directories) and then print the length of an array (given an array named array in bash, ${#array[@]} is the number of elements in that array).