  We show that for large integers $n$, whose ratios of consecutive divisors are
bounded above by an arbitrary constant, the number of prime factors follows an
approximate normal distribution, with mean $C \log_2 n$ and variance $V \log_2
n$, where $C=1/(1-e^{-\gamma})\approx 2.280$ and $V\approx 0.414$. This result
is then generalized in two different directions.
