We perform a search for faint , common proper motion companions of Hipparcos stars using the recently published LSPM-north catalog of stars with proper motion \mu > 0.15 \arcsec yr ^ { -1 } .
Our survey uncovers a total of 521 systems with angular separations 3 \arcsec < \Delta \theta < 1500 \arcsec , with 15 triples and 1 quadruple .
Our new list of wide systems with Hipparcos primaries includes 130 systems identified here for the first time , including 44 in which the secondary star has V > 15.0 .
Our census is statistically complete for secondaries with angular separations 20 \arcsec < \Delta \theta < 300 \arcsec and apparent magnitudes V < 19.0 .
Overall , we find that at least 9.5 \% of nearby ( d < 100 pc ) Hipparcos stars have distant stellar companions with projected orbital separations s > 1 , 000 AU .
We observe that the distribution in orbital separations is consistent with Öpik ’ s law f ( s ) ds \sim s ^ { -1 } ds only up to separation s \approx 4 , 000 AU , beyond which it follows a more steeply decreasing power law f ( s ) ds \sim s ^ { - l } ds with l = 1.6 \pm 0.1 .
We also find that the luminosity function of the secondaries is significantly different from that of the single stars field population , showing a relative deficiency in low-luminosity ( 8 < M _ { V } < 14 ) objects .
The observed trends suggest either a formation mechanism biased against low-mass companions , or a disruption over time of systems with low gravitational binding energy .