2766

2766 is the natural number that follows 2765 and precedes 2767. In mathematics, it is an even composite number with a prime factorization of 2 × 3 × 461, where 461 is prime. Because 2766 is the product of three distinct primes, its divisors are 1, 2, 3, 6, 461, 922, 1383, and 2766.

The sum of all positive divisors of 2766 is 5544, while the sum of its proper divisors is 2778. Since 2778 > 2766, the number is classified as abundant, with an abundance of 12 (the difference between the sum of proper divisors and the number itself). Its factorization also implies it is squarefree and divisible by 6.

In various numeral systems, 2766 has distinct representations. In binary it is 101011001110, in hexadecimal it is ACE, and in octal it is 5316. The Roman numeral representation is MMDCCLXVI.

As a calendar year, 2766 CE would be a future year in the Gregorian calendar. Without specific historical events tied to that year, it remains a point of reference rather than a documented era in contemporary historiography.

See also: representations of numbers in multiple bases, properties of abundant numbers, and Roman numerals.