  Milne's correcting factor, which appears in the Zeta-value at $s=n$ of a
smooth projective variety $X$ over a finite field $\mathbb{F}_q$, is the Euler
characteristic of the derived de Rham cohomology of $X/\mathbb{Z}$ modulo the
Hodge filtration $F^n$. In this note, we extend this result to arbitrary
separated schemes of finite type over $\mathbb{F}_q$ of dimension at most $d$,
provided resolution of singularities for schemes of dimension at most $d$
holds. More precisely, we show that Geisser's generalization of Milne's factor,
whenever it is well defined, is the Euler characteristic of the $eh$-cohomology
with compact support of the derived de Rham complex relative to $\mathbb{Z}$
modulo $F^n$.
