7681

7681 is a natural number that comes after 7680 and before 7682. In mathematics, it is classified as a prime number.

In base 2, 7681 is 1111000000001. In base 16, it is 0x1E01. These representations reflect that 7681 equals 2^12 + 2^11 + 2^10 + 2^9 + 1.

As a prime, its only positive divisors are 1 and 7681. It is odd and congruent to 1 modulo 3 and modulo 8, since 7681 ≡ 1 (mod 3) and 7681 ≡ 1 (mod 8). The decimal digit sum is 22.

Context: 2^12 = 4096 and 2^13 = 8192, so 7681 lies between these powers of two. It is not a Fermat prime or a Mersenne prime and has no widely known named properties beyond being a prime number with a notable binary form.