2775

2775 is a natural number that follows 2774 and precedes 2776. It is an odd, composite integer with a prime factorization of 3 × 5^2 × 37, making it divisible by 3, 5, 15, 25, and 75, among others. The complete set of positive divisors is 1, 3, 5, 15, 25, 75, 37, 111, 185, 555, 925, and 2775.

2775 has the property of being a triangular number, as it equals the sum of the integers from 1 to 74. This is because 74 × 75 / 2 = 2775. It is not a square or a cube, and it is not known as a hexagonal or pentagonal number, though it arises from the product of relatively small primes.

In various numeral systems, 2775 is represented as 0xAD7 in hexadecimal and 101011010111 in binary. In Roman numerals, it is written as MMDCCLXXV.

In mathematical contexts, 2775 is often cited as an example of a number with a simple prime factorization that also forms a triangular number, illustrating how different arithmetic properties can coincide in a single integer. Beyond pure mathematics, 2775 does not correspond to widely recognized dates, events, or catalog identifiers, and is typically encountered in numerical examples or sequence discussions rather than in historical or cultural contexts.