  Let H(x,y,z) be the number of integers $\le x$ with a divisor in (y,z] and
let H_1(x,y,z) be the number of integers $\le x$ with exactly one such divisor.
When y and z are close, it is expected that H_1(x,y,z) H(x,y,z), that is, an
integer with a divisor in (y,z] usually has just one. We determine necessary
and sufficient conditions on y and z so that H_1(x,y,z) H(x,y,z). In doing so,
we answer an open question from the paper "The distribution of integers with a
divisor in a given interval", math.NT/0401223.
