831

831 is a positive integer that follows 830 and precedes 832. In Roman numerals it is DCCCXXXI. In binary it is 1100111111, and in hexadecimal it is 0x33F.

Its prime factorization is 831 = 3 × 277, with 277 being prime. The divisors are 1, 3, 277, and 831. The sum of proper divisors is 281, which is less than 831, so 831 is a deficient number. Euler's totient function for this number is φ(831) = 552.

In telecommunications, 831 is the North American Numbering Plan area code for the Central Coast region of California, including Monterey, Santa Cruz, Salinas, and parts of San Benito County such as Hollister. It was created as a split from area code 408 and serves a broad coastal population and several municipalities along the central California coast.

Summary

As a numeral, 831 is an odd composite with a simple factorization, yielding a small set of divisors and a deficiency. As a telecommunications code, it identifies a specific geographic region in California and forms part of the local dialing framework within the North American numbering plan.