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The Robo-AO \textit{Kepler} Planetary Candidate Survey is observing every\textit{Kepler} planet candidate host star with laser adaptive optics imagingto search for blended nearby stars, which may be physically associatedcompanions and/or responsible for transit false positives. We present in thispaper the results of our search for stars nearby 1629 \textit{Kepler} planetcandidate hosts. With survey sensitivity to objects as close as $\sim$0.15" andmagnitude differences $\Delta$m$\le$6, we find 223 stars in the vicinity of 206target KOIs; 209 of these nearby stars have not previously been imaged in highresolution. We measure an overall nearby-star probability for \textit{Kepler}planet candidates of 12.6\%$\pm$0.9\% at separations between 0.15" and 4.0".Particularly interesting KOI systems are discussed, including 23 stars withdetected companions which host rocky, habitable zone candidates, and five newcandidate planet-hosting quadruple star systems. We explore the broadcorrelations between planetary systems and stellar binarity using the combineddataset of Baranec et al. (2016) and this paper. Our previous 2$\sigma$ resultof a low binary fraction of KOIs hosting close-in giant planets is lessapparent in this larger dataset. We also find a significant correlation betweenbinary fraction and KOI number, suggesting possible variation between early andlate \textit{Kepler} data releases.

Robo-AO Kepler Planetary Candidate Survey III: Adaptive Optics Imaging of 1629 Kepler Exoplanet Candidate Host Stars