A notable feature of the star, and the reason it gained a 'Wolf' number, is its unusually high proper motion against the background of stars: Wolf 2 is moving northward on the celestial sphere at a rate of some 240 milli-arcseconds per year. A milli-arcsecond represents a tiny fraction of a degree of arc, but this is still a significally higher proper motion than most stars in the sky. The star falls close to the First Point of Aries, with a Right Ascension of just 00h20, which accounts for its low 'Wolf' number (these numbers are assigned to stars based on ascending values of Right Ascension).
* The available data for this star is comparatively sparse, and certain values shown here are derived from the GAIA visual luminosity data (which gives this star a luminosity value of 0.279 compared to the Sun). Some sources prefer a higher figure, making the star several times moreluminous than the Sun. These earlier figures would imply that Wolf 2 is rather more intrinsically luminous than described here, and would suggest in turn that it may be a subgiant rather than a dwarfstar.