  We measure the absolute magnitude, $H$, distribution, $dN(H) \propto
10^{\alpha H}$ of the scattering Trans-Neptunian Objects (TNOs) as a proxy for
their size-frequency distribution. We show that the H-distribution of the
scattering TNOs is not consistent with a single-slope distribution, but must
transition around $H_g \sim 9$ to either a knee with a shallow slope or to a
divot, which is a differential drop followed by second exponential
distribution. Our analysis is based on a sample of 22 scattering TNOs drawn
from three different TNO surveys, the Canada-France Ecliptic Plane Survey
(CFEPS, Petit et al. 2011), Alexandersen et al. (2014), and the Outer Solar
System Origins Survey (OSSOS, Bannister et al. 2016), all of which provide well
characterized detection thresholds, combined with a cosmogonic model for the
formation of the scattering TNO population. Our measured absolute magnitude
distribution result is independent of the choice of cosmogonic model. Based on
our analysis, we estimate that number of scattering TNOs is (2.4-8.3)$\times
10^5$ for $H_r < 12$. A divot $H$-distribution is seen in a variety of
formation scenarios and may explain several puzzles in Kuiper Belt science. We
find that a divot $H$-distribution simultaneously explains the observed
scattering TNO, Neptune Trojan, Plutino, and Centaur $H$-distributions while
simultaneously predicting a large enough scattering TNO population to act as
the sole supply of the Jupiter-Family Comets.
