A Quick Look at the $3\,$GHz Radio Sky I. Source Statistics from the Very Large Array Sky Survey

The Very Large Array Sky Survey (VLASS) is observing the entire sky north of $-40^{\circ}$ in the S-band ($2<\nu<4\,$GHz), with the highest angular resolution ($2''.5$) of any all-sky radio continuum survey to date. VLASS will cover its entire footprint over three distinct epochs, the first of which has now been observed in full. Based on rapidly produced Quick Look images from this first epoch, we have created a catalog of $1.7\times10^{6}$ reliably detected radio components with $S_{\text{peak}}\gtrsim1\,$mJy/beam. We describe the production of this catalog and quantify the impact of the limited-quality Quick Look images on the scientific usability of the resultant data. Comparisons with independent observations show that flux density measurements at $S_{\text{peak}}\gtrsim3\,$mJy/beam are systematically underestimated by $\sim10\,\%$. Components with $S_\text{peak}<3\,$mJy/beam often have unreliable flux density measurements. We use this catalog to perform a statistical analysis of the $\nu \sim 3\,$GHz radio sky. Comparisons with the Faint Images of the Radio Sky at Twenty cm survey (FIRST) show the typical $1.4-3\,$GHz spectral index to be $\alpha\sim-0.76$. The radio color-color distribution of both point and extended VLASS components is explored by matching with FIRST and the LOFAR Two Meter Sky Survey. The VLASS $dN/dS$ is presented and found to be consistent with previous observations at both $1.4$ and $3\,$GHz. The improved resolution of VLASS relative to FIRST is demonstrated by excess power in the VLASS two-point correlation function at $\theta\lesssim 7''$, and by $17\,\%$ of active galactic nuclei associated with single FIRST component being observed as multi-component sources by VLASS.