16Z
16Z denotes the set of all integers that are multiples of 16. Equivalently, 16Z = {16k : k ∈ Z}. It is a subgroup of the additive group of integers and, in the ring Z, it is the principal ideal generated by 16.
Because every element of 16Z can be written as 16k, the subgroup is infinite cyclic and is
Its index in Z is 16, since the cosets modulo 16 are [0], [1], ..., [15], and Z/16Z
Elements of 16Z are exactly the integers divisible by 16, such as ..., -32, -16, 0, 16, 32,
Other perspectives: in arithmetic, 16Z is the kernel of the reduction homomorphism Z → Z/16Z and appears