It looks like it is the status column you are after but it is the addition of the bits. Someone has probably written a script to query this but here are the definition from BOL.

Status bits, some of which can be set by using ALTER DATABASE as noted:

1 = autoclose (ALTER DATABASE)

4 = select into/bulkcopy (ALTER DATABASE using SET RECOVERY)

8 = trunc. log on chkpt (ALTER DATABASE using SET RECOVERY)

16 = torn page detection (ALTER DATABASE)

32 = loading

64 = pre recovery

128 = recovering

256 = not recovered

512 = offline (ALTER DATABASE)

1024 = read only (ALTER DATABASE)

2048 = dbo use only (ALTER DATABASE using SET RESTRICTED_USER)

4096 = single user (ALTER DATABASE)

32768 = emergency mode

4194304 = autoshrink (ALTER DATABASE)

1073741824 = cleanly shutdown

Multiple bits can be ON at the same time.