A complete accounting of nearby objects-from the highest-mass white dwarf progenitors down to low-mass brown dwarfs-is now possible, thanks to an almost complete set of trigonometric parallax determinations from Gaia, ground-based surveys, and Spitzer follow-up. We create a census of objects within a Sun-centered sphere of 20pc radius and check published literature to decompose each binary or higher-order system into its separate components. The result is a volume-limited census of ~3600 individual star formation products useful in measuring the initial mass function across the stellar (~5M_Jup_) regimes. Comparing our resulting initial mass function to previous measurements shows good agreement above 0.8M_{sun} and a divergence at lower masses. Our 20pc space densities are best fit with a quadripartite power law, {xi}(M)=dN/dM{propto}M^-{alpha}^, with long-established values of {alpha}=2.3 at high masses (0.55<M<8.00M{sun}), and {alpha}=1.3 at intermediate masses (0.22<M<0.55M{sun}), but at lower masses, we find {alpha}=0.25 for 0.05<M<0.22M{sun}_, and {alpha}=0.6 for 0.01<M=50mas not included in our 20-pc census)
Cone search capability for table J/ApJS/271/55/table4 (The 20-pc census)
Cone search capability for table J/ApJS/271/55/notes4 (Notes for Table 4 systems/components)
Cone search capability for table J/ApJS/271/55/table5 (New 20-pc accelerators from the Khovritchev & Kulikova 2015, J/PAZh/41/896 sample)
Cone search capability for table J/ApJS/271/55/table6 (20-pc accelerators in known close binary/multiple systems)
Cone search capability for table J/ApJS/271/55/table7 (20-pc accelerators whose only close companions are known exoplanets)
Cone search capability for table J/ApJS/271/55/table8 (20-pc accelerators with more distant (or no known) companions)
Cone search capability for table J/ApJS/271/55/table9 (New 20-pc multiple systems identified through LUWE)
Cone search capability for table J/ApJS/271/55/table10 (Mass measurements and estimates for white dwarfs in the 20-pc census)
Cone search capability for table J/ApJS/271/55/table11 (Giants and subgiants in the 20-pc census)
Cone search capability for table J/ApJS/271/55/table13 (20-pc members of young associations and moving groups with Ages < 100 Myr)
Cone search capability for table J/ApJS/271/55/table14 (20-pc objects with low-metallicity and/or halo kinematics)
Cone search capability for table J/ApJS/271/55/table15 (20-pc objects hosting "Planets")
Cone search capability for table J/ApJS/271/55/tablea2 (Spectroscopic follow-up)
Cone search capability for table J/ApJS/271/55/tablea3 (Preliminary parallax and motion fits for objects on the NPARSEC parallax programs)
Cone search capability for table J/ApJS/271/55/tablea4 (Astrometry on the Gaia DR3 reference frame for CWISE J181125.34+665806.4; see Section A.3.2.)
Cone search capability for table J/ApJS/271/55/tableb1 (The proximal systems for each constellation; See Appendix B)