Hello! I'm very new to succulents (as in this little one is my second ever) and I have a few questions. Is it a purple pearl? I got it from a gardening center, but it's not in the typical "succulent soil" and I think it's been over watered. Should I repot it? If so, when; now while it's wet or wait until it's dried out?

Also, it had an individual leaf just laying in the pot that has a few tiny roots sprouting, but the roots are black on the ends. Can I put that in it's own little pot or should I wait?

I'd put that leaf on/in mildly damp planting medium and sort of try to prop it up at a slight angle. If you bury the rooted end, do it no more than about 1/16" max. It will anchor itself as the roots establish and grow. Put it in a warm location with lots of light (maybe not direct light, just yet, but very bright indirect) and wait. You won't need to water for a while, it will live off the succulent leaf for a while. You'll see a little plant rosette form and make a new plant at some point. Patience is always the key. If you do decide it really needs water, water it from the bottom. When I do that sort of thing in the winter months, the plant material tends to be just resting on the top of the medium and I don't water at all.

Its winter in the continental U.S. Light is lower, temps are cooler. Even in the warmer areas. Not a huge consideration, I guess, if you are located in the southern half of Florida, the valley in Texas or in south California and maybe along the Gulf coast and border areas between Mexico and the U.S., but even those are milder with lower light than in the summer, so for the larger plant, mostly just let it rest in the winter months. My experience with plants of that type is they try to grow too much in the winter and etoliate in the lower light. The more inside light the better on the larger plant. Too much water will be the biggest pitfall.

Ok thank you that's helpful! With the big one, the soil it came in is still soggy, should I repot into dry media?

I wouldn't unless it was showing signs of rot in the stem. I can't see any in the photo, but examination up close would be better. Just put it in a warm, sunny window (it can take direct sun through a window, I think) and don't give it any water until you know the soil is almost dry to the bottom of the container. Those leaves store a lot moisture, so the plant can go a long time and be fine.

In the winter mine go without water for weeks at a time and some succulents just don't get any until the days are getting longer and warmer. But my winter space isn't ideal for keeping plants that need bright light and warm temperatures to be their best. I want them to stay as dormant as possible during the indoor months. The less active growth the better as long as they don't die.

Thank you again. Change of topic if that's ok; this morning I found mealy bugs on it. I cleaned them off and got rid of the white fuzzy stuff on the stem (eggs?). I found a few at the base of the stem and I'm worried they might be in the dirt or on the roots. Do mealy bugs do that?

Probably, but I've not a lot of experience with mealy bugs, so others here can address your question a lot better than I can. @Baja_Costero - I'm ringing you on this one .

Root mealy bugs live in the soil and feed off the roots, generally invisibly until the plant is unpotted and you notice the white cottony spots where they hang out. These bugs may or may not be the same as the bugs that live between the leaves above ground. I generally assume they are separate. Now a regular above-ground mealy bug presumably can crawl around on the soil in the course of its travel from point A to point B, but I don't think they actually live there or hide there.

My usual treatment for regular mealy bugs is a spray with dilute soapy water. I use Safer brand insecticidal soap, but you can make your own from mild dish soap at 1-2% concentration in water. They are also susceptible to spray with 70% ethanol, but this sometimes damages the leaves of soft leaf succulents, and it's not something I would recommend with your plant.

If you want a serious chemical solution, it is also possible to treat the plant with a systemic insecticide, and I can provide details there, but this is not an ideal solution if you live in the northlands and the plant is going through sleepy times with the lower light and lower temperatures of the season. A systemic generally works better for prevention than cure. In my experience it is not reliable on its own for treatment.

Generally vigilance is the best overall solution. Once you figure out where they like to hide, down at the base of leaves near the growth center, you can inspect those places on a regular basis and make sure they are gone.

It would really help to know where you are and whether it is inside or outside.
As tough as the leaves are, full sun in a south-facing window is best if it's inside. It reduces the rot possibility dramatically.