  For coprime positive integers $a, b, c$, where $a+b=c$, $\gcd(a,b,c)=1$ and
$1\leq a < b$, the famous $abc$ conjecture (Masser and Oesterl\`e, 1985) states
that for $\varepsilon > 0$, only finitely many $abc$ triples satisfy $c >
R(abc)^{1+\varepsilon}$, where $R(n)$ denotes the radical of $n$. We examine
the patterns in squarefree factors of binary additive partitions of positive
integers to elucidate the claim of the conjecture. With $abc$ hit referring to
any $(a, b, c)$ triple satisfying $R(abc)<c$, we show an algorithm to generate
hits forming infinite sequences within sets of equivalence classes of positive
integers. Integer patterns in such sequences of hits are heuristically
consistent with the claim of the conjecture.
