Number of hydrogen bonded water molecules in blue vitriol

Molecular Formula of blue vitriol $\left[\mathrm{Cu}{\left({\mathrm{H}}_2\mathrm{O}\right)}_4\right]{\mathrm{SO}}_4.\mathrm{\hspace{0.17em}}{\mathrm{H}}_2\mathrm{O}$

‘4’ water molecules are coordinated to  ${\mathrm{Cu}}^{+2}$
‘1’ water molecule forms H-bond with sulphate ion.