If the scab of a molluscum contagiosum bump fell off prematurely, is it still contagious?

Molluscum contagiosu: The scab itself isn't important as a source of infection. However, you probably are still contagious for a few weeks after the last molluscum lesions are gone. If this is a genital area infection, new sex partners will be at risk for a while. However, if a regular partner has also had MC (and maybe the source of your infection), that person probably is immune and no precautions are necessary.