Thermostat question for smart people

When considering whether to keep your thermostat set at a cooler 65 degrees to save energy and money, vs a more comfortable 69 degrees (and never touching the thermostat afterwards, just keeping it fixed on that single temperature)… not including the one-time initial energy expense of getting the room up to temperature, does maintaining the room at 69 degrees use more energy than maintaining the room at 65, or does the maintenance of the temperature, no matter which temperature, use a static amount of energy?