7841

7841 is a natural number that follows 7840 and precedes 7842. It is an odd, four-digit integer. In number theory, 7841 is prime, meaning its only positive divisors are 1 and itself. As a prime, it has no nontrivial factorization and is not a square or a multiple of small primes.

In base representations, 7841 can be written as 1111010100001 in binary and as 0x1EA1 in hexadecimal. The decimal digit sum is 20, giving a digital root of 2, and the number is congruent to 1 modulo 4.

As a four-digit prime, 7841 is part of the broader set of primes used in elementary and recreational mathematics to illustrate properties of primality and base representations. Beyond pure mathematics, the sequence of four-digit numbers like 7841 often appears as identifiers, catalog numbers, or codes in various technical and logistical contexts, though 7841 itself does not denote a single widely recognized object or concept.

Overall, 7841 is primarily notable for its status as a prime number with specific representations in alternate bases, rather than for a distinct historical event, object, or widely known application.