2754

2754 is a composite integer with a few interesting mathematical properties. It is even and divisible by 2 and 3, yielding a sum of its digits equal to 18, which is itself divisible by 9; consequently, 2754 is a multiple of 9. The number factors into prime components 2 × 3² × 11 × 13, revealing a structure that is used in basic number theory examples of factorization. Its representation in binary is 101010011110, and in hexadecimal it is 0xAB6. In modular arithmetic, 2754 mod 7 equals 6, and mod 11 equals 4. The integer falls into the group of numbers that are composite neighbors of the prime 2753, illustrating the dense distribution of primes in the region.

In the year 2754 AD, no specific major historical or scientific events are documented in usual historical records, reflecting the futility of attempting highly detailed predictions far into the future. The year can serve in speculative fiction as a setting for centuries‑ahead scenarios or as a backdrop for astronomical themes.

2754 also designates a minor planet in the asteroid belt, officially catalogued as (2754) 1974 HN. It was discovered on 1974 February 10 by astronomer space observation programs. The asteroid orbits the Sun with a semi‑major axis of roughly 2.7 astronomical units and a period of about 4.4 Earth years. Its spectral classification is S-type, indicating a stony composition rich in silicate minerals, and it has an estimated diameter of about 13 kilometers. The orbit is moderately eccentric, and its inclination relative to the ecliptic is around 5 degrees, placing it among the many planets that populate the main belt between Mars and Jupiter.