2671

2671 is a natural number that follows 2670 and precedes 2672. It is an odd integer and, in the field of number theory, is notable for being a prime number. Its only positive divisors are 1 and 2671, which makes it non-factorable by any smaller integers. The fact that no prime number up to 47 divides 2671 confirms its primality, since the square root of 2671 is about 51.7.

In various numeral systems, 2671 has distinct representations. In binary it is 101001101111, and in hexadecimal it is A6F. The conventional Roman numeral representation is MMDCLXXI.

Beyond pure mathematics, 2671 is used as an identifier in catalogs, standards, and fictional or historical timelines where a year or catalog number is needed. As a prime, it serves as a straightforward example in discussions of primality, divisibility, and base conversions. While it does not carry widely cited mathematical constants or theorems associated with it, 2671 illustrates common properties of prime numbers and numeral representations in a compact form. See also the neighboring integers 2670 and 2672, which are composite and even/odd contrasts to 2671, respectively.