Got this at Amazon last year. It has a thermostat and never stops unless you have a power outage.
Works well on a cold spot.
Lasko Oscillating Digital Ceramic Tower Heater for Home with Adjustable Thermostat, Timer and Remote Control, 23 Inches, 1500W, Silver, 755320
I love mine.
Otherwise, it will run continuously to maintain a particular temperature?
It seems the Lasko fan does shut off after some period of time. More than 8 hrs though.