  Let b $\ge$ 2 be an integer and let s b (n) denote the sum of the digits of
the representation of an integer n in base b. For sufficiently large N , one
has Card{n $\le$ N : |s 3 (n) -- s 2 (n)| $\le$ 0.1457205 log n} \textgreater{}
N 0.970359. The proof only uses the separate (or marginal) distributions of the
values of s 2 (n) and s 3 (n).
