Some time ago- late 1980s/early 1990s- i heard a station in Eastern Iowa somewhere broadcasting at 530 Khz, AM 530. It broadcast in Morse, and it gave different signals at different times.
First it broadcast SOB (... --- -...) continuously 24/7.
Then a few months later it switched to SOC (... --- -.-.). Again, 24/7.
Then it went to transmitting FN (..-. -.) 24/7.
At the time all the equipment i had to track it was the family car radio, which at that age i did not control. Eventually (1991) it stopped and i haven't heard it since.
Opinions please?
Well, my first opinion is that it was not a numbers station
What you heard was, in all probability, an NDB, Non Directional Beacon. A Google search will show lots of data on the history of this service. A few could and still can be heard when tuning an MW AM Broadcast receiver to the low end of its abilities, however the majority of them are far below the lower end of that broadcast band.
The habits you describe, sending a 2 or 3 letter / digit call sign 24/7 in MCW (a CW transmission mode that can be received using an AM radio) is their normal format.
I have no idea why it would be changing call sign over time though, unless it was an experimental setup to test a new location. The other possibility, admittedly a long shot, is that you actually heard multiple stations and that propagation was bringing you one or the other seasonally. For a few weeks / months you heard one of them, then conditions changed and for the next few weeks / months you heard another, etc.
I can't find a listing of an NDB callsign for SOB or SOC (of course, I don't have a searchable list from the 1990 time frame) but the callsign FN is used by a station out of Flint MI, on 269 kHz. Interestingly the 2nd harmonic of that station would be on 538 kHz, and might show up at the lower end of the AM BCB.
T