  Collatz Conjecture is one of the most famous, for its simple form, proposed
more than eighty years ago. This paper presents a full attempt to prove the
affirmative answer to the question proposed by the conjecture. In the first
section, we propose a number of definitions utilized later on the proof. In the
second section, we discover the formula for a characteristic function. This
formula describes the functionality of the paths taken for each number based on
the Collatz Sequence. In the last section, we prove that every number will
eventually reach 1, using the characteristic function.
