You will have to call S&W to find out.
Actually, most of the J or I framed revolvers in .32 caliber are SIX shot. The .38 caliber versions are 5 shot.
We're not sure either- you will need to take it to a gunsmith. There were dozens of different caliber 5 shot revolvers.
1912
1911
1910
2006
1871
Early 1930s
1920
The 5-shot cylinder leads to the assumption of .38 S&W caliber, but that is just an assumption.
No sn data available
No published sn data