  Let $n = \mathrm{p}\!\cdot\!\mathrm{q}$ (p < q) and $\Delta = \lvert p-q
\rvert$, where p,q are odd integers, then, it is hypothesized that factorizing
this composite n will take O(1) time once the steady state value is reached for
any $\Delta$ in $zone_0$ of some observation deck (od) with specific dial
settings. We also introduce a new factorization approach by looking for
$\Delta$ in different $\Delta$ sieve zones. Once $\Delta$ is found and $n$ is
already given, one can easily find the factors of this composite n from any one
of the following quadratic equations: $p^2 + p\Delta -n = 0$ or $q^2 -q\Delta
-n = 0$. The new factorization approach does not rely on congruence of squares
or any special properties of n, p or q and is only based on sieving the
$\Delta$. In addition, some other new factorization approaches are also
discussed. Finally, a new trapdoor function is presented which is leveraged to
encrypt and decrypt a message with different keys. The most fascinating part of
the discovery is how addition is used in factorization of a semiprime number by
making it yield the difference of its prime factors.
