7853

7853 is a natural number that follows 7852 and precedes 7854. It is a prime number, meaning its only positive divisors are 1 and itself. The number is congruent to 1 modulo 4 (7853 ≡ 1 mod 4), which is characteristic of primes that can be expressed as a sum of two squares.

Indeed, 7853 can be written as the sum of two integer squares: 7853 = 58^2 + 67^2 (3364 + 4489 = 7853). This aligns with the general property that primes of the form 4k+1 can be expressed as a sum of two squares.

In other common numeral systems, 7853 equals 1111010101101 in binary and 0x1EAD in hexadecimal. The decimal digits sum to 23, giving a digital root of 5.

As a prime number with a 4k+1 form, 7853 participates in standard results of number theory, such as representations as sums of two squares, and serves as an example in discussions of primality and modular arithmetic.