There are several reasons why a cat might make a low, vibrating sound:
1: When cats feel content and comfortable, such as when they are petted or hugged by their owners, they will make this sound to express their pleasure and satisfaction.
2: This sound is also a sign of affection and trust in cats. When they develop a deep bond with their owner or other cats, they will make this sound to show intimacy and trust.

3: When cats are nervous or anxious, they make this sound to soothe themselves and relieve stress and anxiety.
4. Sometimes, this sound from a cat may be related to its health condition, such as respiratory illness. If the sound is unusually frequent or low-pitched, it is recommended to seek veterinary attention promptly.