2546

2546 is a positive integer that follows 2545 and precedes 2547. It is even and composite, with prime factorization 2 × 19 × 67. Because the prime factors are distinct, 2546 is squarefree and has eight positive divisors: 1, 2, 19, 38, 67, 134, 1273, and 2546. The sum of all divisors is 4080, making the sum of proper divisors 1534; since 1534 is less than 2546, 2546 is a deficient number.

In various numeral systems, 2546 has these representations: in binary it is 100111110010; in octal it is 4762; in hexadecimal it is 0x9F2. In Roman numerals, it is written as MMDXLVI (2000 + 500 + 40 + 6).

Additional arithmetic properties include a digit sum of 17, giving a digital root of 8. It is divisible by 2 but not by 3 or 5. Its factorization into distinct primes (2, 19, and 67) confirms its status as a squarefree, three-prime product.

As a calendar reference, 2546 CE would be a year in the far future. No widely known historical events are anchored to that exact year, but it is sometimes cited in speculative or fictional timelines. The number 2546 is primarily of interest for its straightforward factorization, its small set of divisors, and its multiple base representations.