  The distribution of quasiprimary fields of fixed classes characterized by
their O$(N)$ representations $Y$ and the number $p$ of vector fields from which
they are composed at $N=\infty$ in dependence on their normal dimension
$[\delta]$ is shown to obey a Hardy-Ramanujan law at leading order in a
$\frac{1}{N}$-expansion. We develop a method of collective fusion of the
fundamental fields which yields arbitrary \qps and resolves any degeneracy.
