196n

196n denotes the product of the constant 196 and the variable n. In algebra and related fields, it is interpreted as a linear term in n and is often written simply as 196n. For integer values of n, 196n represents a multiple of 196.

The number 196 factors as 14^2, or 2^2 × 7^2. Consequently, every value of 196n is divisible by 196. As n runs through the integers, the sequence 196n forms an arithmetic progression: 0, 196, 392, 588, 784, ... with a common difference of 196. The term is also even and carries factors of 4 and 49 stemming from its prime factorization.

In mathematical contexts, 196n can occur as a scaling term in formulas, counts, or bounds, such as expressing a quantity that grows linearly with n or appearing in Diophantine problems involving multiples of 196. Its role is determined by the usual properties of integers and the fixed constant 196.

Outside pure mathematics, 196n may appear as a model number, product code, or other identifier in catalogs and systems. Without additional context, the notation carries no single fixed meaning beyond the straightforward interpretation as the product of 196 and n.