This was already here when I moved into my house.

Terri. You may need the help of our resident Sempervivum expert, @valleylynn. She is the moderator of the hardy succulent forum.

Looks like Sempervivum tectorum to me.

Yes, it does look to be a tectorum. But which one? There are many individual types of tectorum, even within the original specie, from different parts of the European continent. Each one with it own distinct differences. Then there are the many hybrids we now have. Again, each with it's own characteristics.
Therefore this one would need to be designated as a NOID (No identification, No ID).
But is sure is a lovely one. It would be a wonderful additions to the sempervivum photos here in the Sempervivum Parent Plant. Sempervivum

We would love for you to join in the conversations in the Sempervivum Forum. You can keep us updated on the seasonal changes your beautiful colony of semps goes through. Can't wait to see what they do.
The thread "Sempervivum & Jovibarba chat & photos 2013" in Sempervivum forum

Thanks all!

I didn't look hard enough to see there is a Hardy Succulents forum (hardy har har) even though that's implied by there being one for Tender Succulents.

Love that 'hardy har har'.