8083

8083 is a natural number that follows 8082 and precedes 8084. In mathematics, 8083 is a composite number with prime factorization 59 × 137, so its positive divisors are 1, 59, 137, and 8083. Because it is the product of two distinct primes, it is square-free, and its Euler totient is φ(8083) = (59−1)(137−1) = 7888. The decimal digit sum is 8 + 0 + 8 + 3 = 19.

In common base systems, 8083 has the representations: binary 1111110010011, octal 17623, and hexadecimal 1F93 (or 0x1F93). These representations reflect its factorization and its place within the powers of two, eight, and sixteen.

Numerically, 8083 is notable for being the product of two relatively small primes, 59 and 137, which makes it a useful example in discussions of prime factorization, divisors, and Euler’s totient function. Its properties illustrate several standard concepts in number theory, such as square-free status and divisor enumeration.

Beyond pure mathematics, 8083 can appear as a numeric identifier in catalogs, part numbers, or codes, but it does not designate a single widely recognized object or historical year. Its significance in any particular context depends on how the number is used within that system.

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