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Statistics of hierarchical multiplicity among solar-type dwarfs are studiedusing the distance-limited sample of 4847 targets presented in the accompanyingPaper I. Known facts about binaries (multiplicity fraction 0.46, log-normalperiod distribution with median period 100yr and logarithmic dispersion 2.4,and nearly uniform mass-ratio distribution independent of the period) areconfirmed with a high statistical significance. The fraction of hierarchieswith three or more components is 0.13+-0.01, the fractions of targets withn=1,2,3,... components are 54:33:8:4:1. Sub-systems in the secondary componentsare almost as frequent as in the primary components, but in half of such casesboth inner pairs are present. The high frequency of those 2+2 hierarchies (4%)suggests that both inner pairs were formed by a common process. The statisticsof hierarchies can be reproduced by simulations, assuming that the field is amixture coming from binary-rich and binary-poor environments. Periods of theouter and inner binaries are selected recursively from the same log-normaldistribution, subject to the stability constraint and accounting for thecorrelation between inner sub-systems. The simulator can be used to evaluatethe frequency of multiple systems with specified parameters. However, it doesnot reproduce the observed excess of inner periods shorter than 10d, caused bytidal evolution.

From binaries to multiples II: hierarchical multiplicity of F and G dwarfs