Poweroftwotimesfive

Poweroftwotimesfive is a phrase most often encountered in mathematics to denote the product of a power of two and five. In its common form, it is written as 5 · 2^n, where n is a nonnegative integer.

Key properties: For n = 0, the value is 5. For n ≥ 1, 5 · 2^n is divisible by 10 and can be written as 10 · 2^{n−1}. The value doubles with every increment of n, and every such number is even.

Examples: n=0 → 5; n=1 → 10; n=2 → 20; n=3 → 40; n=4 → 80; n=5 → 160.

Relation to base-10 and binary: In decimal, these numbers end with a zero for n ≥ 1. In binary, 5 is 101, so multiplying by 2^n is equivalent to a left shift by n bits, producing 101 followed by n zeros.

Context and usage: The form 5 · 2^n is common in number-theory discussions, algorithm analysis, and computer science to describe sequences that grow exponentially by a factor of two and stay multiples of five. It also naturally arises in problems involving divisibility, powers of ten, and binary representations.

Notes: If the term "poweroftwotimesfive" is used as a name or identifier, its precise meaning would depend on the context or project. This article treats it primarily as the mathematical expression.