Answer: Without seeing the plant, I'm only guessing, but I suspect it's Lewisia. These plants have narrow, fleshy leaves and produce flowering stems which are topped with showy flowers. These are beautiful plants for rock gardens. They need excellent drainage and do best with gravel around the crowns of the plants.
In very broad terms, cacti generally have spines or thorns and succulents do not. Succulents are plants with fleshy leaves, such as Hens and Chicks or Aloe. There are hundreds of plants with succulent leaves! One book I find helpful is the Illustrated Dictionary of Succulents by Maurizio Sajeva & Mariangela Costanzo, published by Timber Press, ISBN# 0-88192-398-2. Hope this information helps!
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