Oh. You hadn't mentioned you thought this or I would have corrected you. It's probably the single most common misconception about BHs.
Yes, there's nothing special about a BH in terms of its mass or its gravity. The only thing special about a BH is that you can get very close
to it. If our sun collapsed into a BH, Earth would not change its orbit.
However, BHs do not from from stars smaller than 1.5 solar masses, and they do tend to accumulate mass, so that's why there's so much talk about massive BHs gobbling up stars.