6049

6049 is a natural number that follows 6048 and precedes 6050. In mathematics, it is an odd, square-free semiprime equal to the product of two distinct primes: 6049 = 23 × 263.

Both prime factors are congruent to 3 modulo 4, which classifies 6049 as a Blum integer. As a result, 6049 cannot be expressed as a sum of two squares. Its positive divisors are exactly 1, 23, 263, and 6049, giving it four divisors in total.

In various numeral systems, 6049 has the following representations: in binary it is 1011110100001, in octal it is 13641, and in hexadecimal it is 0x17A1. The decimal form is, of course, 6049. Its digital root is 1, since the sum of its digits (6 + 0 + 4 + 9) is 19, which reduces to 1.

Context and significance: as a semiprime with both prime factors congruent to 3 mod 4, 6049 is often cited in discussions of number theory related to factorization properties, primality testing, and the characteristics of Blum integers. It is a relatively small illustrative example of a composite number with exactly four divisors.