  We present the pattern underlying some of the properties of natural numbers,
using the framework of complex networks. The network used is a divisibility
network in which each node has a fixed identity as one of the natural numbers
and the connections among the nodes are made based on the divisibility pattern
among the numbers. We derive analytical expressions for the centrality measures
of this network in terms of the floor function and the divisor functions. We
validate these measures with the help of standard methods which make use of the
adjacency matrix of the network. Thus how the measures of the network relate to
patterns in the behaviour of primes and composite numbers becomes apparent from
our study.
