For starters, I don't know what temperature scale you're using. Celsius is too low (50-62c is only about 122-145º) and Kelvin is too high (50-62k is around 285-290º).
With that said, and the disclaimer that I've only owned Hemi-powered LX/LD cars with dual cooling fans, there are as many as twenty different fan settings; low, medium and high (although the dual fans have no medium speed), that can be set differently with A/C on or off, and even for different vehicle speeds, and including the hysteresis (how low the temperature must drop for the fan to cycle off).
Just as a very rough guide, dual cooling fans on a completely stock, Hemi-powered 300 should come on at low speed around 217º, and high speed at 226º or so. So depending on where and how you drive, you might never (or rarely) see high speed fan operation.
But you shouldn't be seeing continuous low speed fan operation. It's counter-productive...you need to reach operating temperature so your PCM can switch to closed-loop mode...and you'll eventually burn your fan motor out.
The first thing I would check is whether you or a previous owner may have used a handheld tuner to alter the fan operation. I suppose if the low speed is set to a low enough temperature, you could see continuous operation.
If your fan speed settings are okay, I would probably use a scan tool like
AlfaOBD or
DiagFCA to toggle the low-, medium-, and high-speed fans on and off manually and see what you get.