Every knot bounds an immersed disk in S3 whose singular set consists only of clasps. The 3D Clasp Number is the minimum number of clasps in such a disk.
Thanks go to Noboru Ito for his assistance in adding the 3D clasp number to KnotInfo.
[1] Kadokami, T. and Kawamura, K., "An infinite family of prime knots with a certain property for the clasp number," J, Knot Theory and its Ramifications, 23 (2014), 1450071.