  We consider structure constants of single trace operators in planar
$\mathcal{N}$ = 4 Super-Yang-Mills theory within the hexagon framework. The
standard procedure for forming a three point function out of two hexagons
develops divergences when the effects of virtual particles wrapping around the
operators are taken into account. In this paper, we explain how to renormalize
these divergences away and obtain definite predictions, at the leading wrapping
order, for some of the structure constants that parameterize the OPE of two
chiral primaries. We test our method at weak coupling against the four loop
planar correction to the BPS-BPS-Konishi OPE coefficient, derived recently in
the field theory. At strong coupling, we compare our expressions with the
structure constants obtained in string theory for three semiclassical strings.
