7842

7842 is a natural number that comes after 7841 and before 7843. It is an even and composite integer, and it has several straightforward arithmetic properties.

In prime factorization terms, 7842 = 2 × 3 × 1307, where 1307 is prime. Consequently, 7842 is square-free and has eight positive divisors: 1, 2, 3, 6, 1307, 2614, 3921, and 7842. The sum of its decimal digits is 21, giving a digital root of 3, and the number is congruent to 3 modulo 9.

7842 can be expressed in several common bases: in binary it is 1111010100010, in octal it is 17242, and in hexadecimal it is 1EA2. These representations reflect its factorization and parity in different numeral systems.

In broader mathematical context, 7842 is a four-digit, even, and square-free integer. It does not correspond to a well-known constant or named sequence on its own, but it serves as a concrete example of a small composite number with a simple prime factorization and multiple base representations.