The Hall resistance R(xy) was studied deep in the insulating phase at the quantized Hall effect to insulator transitions in a dilute 2D electron system. While the diagonal resistivity rho(xx) diverges, R(xy) remains close to its classical value, H/nec, at least up to rho(xx) = 4 X 10(6) OMEGA/square. The insulating phase was found to develop directly from at least three QHE phases at v = 1, 2 and 6, in contrast to recent theoretical predictions.