Divisible Sequence and its Characteristic Sequence

In this article, we define sequences called Characteristic Sequence and Divisible Sequence on our own terms which satisfy a special property. Later, we see that many other sequences also satisfy this property. And we will see how we end up in establishing some interesting identities and facts regarding those sequences. We call this property the Humble Divisibility Property. Lets explore the sequences which maintain this Humble Divisibility Property properly.