5092

5092 is a natural number that follows 5091 and precedes 5093. It is even and composite. The prime factorization of 5092 is 2^2 × 19 × 67, which implies its positive divisors include 1, 2, 4, 19, 38, 67, 76, 134, 268, 1273, 2546, and 5092.

The sum of all divisors of 5092 is 9520, so the sum of proper divisors is 9520 − 5092 = 4428. Since 4428 < 5092, 5092 is a deficient number. It is divisible by 4 and by the primes 19 and 67 as well.

In modular arithmetic, 5092 ≡ 4 (mod 8). Because its prime factors include 19 and 67, both congruent to 3 modulo 4, their odd exponents in the factorization imply that 5092 cannot be expressed as a sum of two squares.

As a numerical label, 5092 can appear in various counting, coding, or cataloging contexts. It may also be encountered as a year designation in speculative or fictional timelines, though in standard historical contexts it remains a far-future year.