8164

8164 is a natural number that comes after 8163 and before 8165. It is an even, composite integer with a prime factorization of 2^2 × 13 × 157. Its divisors include 1, 2, 4, 13, 26, 52, 157, 314, 628, and 8164.

The digits of 8164 sum to 19, giving a digital root of 1. Accordingly, 8164 is congruent to 1 modulo 9 and to 4 modulo 5. In terms of base representations, 8164 equals 1111111100100 in binary and 0x1FE4 in hexadecimal. Notably, 8164 can be expressed as a sum of two squares: 90^2 + 8^2 = 8164.

In arithmetic and number theory, 8164 serves as an example of a numbers that are divisible by 4 and by each of the odd prime factors 13 and 157. Its factorization into 2^2 · 13 · 157 shows it is not prime and illustrates how composite numbers can have multiple distinct prime factors.

Beyond pure mathematics, 8164 may appear as an identifier in catalogs, part numbers, or codes in various contexts. Like many four-digit numbers, it does not correspond to a widely recognized mathematical constant, object, or historical year, but it can be encountered in computations, enumerations, or data labeling where natural numbers are used as identifiers.

See also: integers, prime factorization, number representations.

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