The extended globular cluster system of the archetypal "failed galaxy" Dragonfly-44 from deep white-light Hubble Space Telescope imaging
For nearly a decade, Dragonfly-44 (DF44, $M_{\star} = 3\times10^8\,{\rm M}_\odot$) has been considered an archetypal ``failed galaxy'', a system so rich in globular clusters (GCs) and dark matter that it challenges standard dwarf galaxy formation scenarios. Yet a key measurement underpinning this classification has remained controversial, with published GC counts differing by a factor of four. Here we present new ultra-deep Hubble Space Telescope WFC3/UVIS imaging of DF44 in the F350LP filter, reaching more than one magnitude below the canonical turnover of the GC luminosity function. We find that DF44 hosts $N_{\rm GC}=73.1\pm8.6$ GCs in a spatially extended system with a half-number radius of $R_{\rm gc}=1.48^{+0.39}_{-0.51}R_{\rm e}$, at the high end of previously published values. The GC system comprises ${\sim}3.9\%$ of the total stellar mass and, if DF44 follows the empirical GC number--halo mass relation, implies $\log(M_{\rm vir}/M_\odot)=11.5\pm0.3$, consistent within the uncertainties with the cored halo mass inferred from stellar kinematics by van Dokkum et al. 2019. Together with a specific frequency of $S_N=42.1\pm4.9$, the rich GC population strongly supports the interpretation of DF44 as a failed-galaxy candidate that assembled a massive halo and rich GC population early, but never formed the field stellar mass expected for its halo. Current formation models reproduce several individual properties of DF44, but its combination of GC richness, early quenching, and high inferred halo mass remains an important constraint on models of dwarf-galaxy formation.