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We examine how closely a multiplicative function resembles an additivefunction. Given a multiplicative function $g$ and an additive function $f$, weexamine the size of the quantity $E(f,g;x)=\# \{n\leq x:f(n)=g(n)\}$. Weestablish a lower bound for $E(\Omega,g,x)$.

On the proximity of multiplicative functions to the function counting prime factors with multiplicity