3414

3414 is a natural number that follows 3413 and precedes 3415. In mathematics, it is an even composite integer with the prime factorisation 2 × 3 × 569. The sum of its decimal digits is 12, and it is divisible by 2, 3, 6, 569, 1138 and 3414. In binary notation the number is written as 110101010110, and in hexadecimal it is represented as 0xD56.

In the field of astronomy, 3414 refers to the minor planet 3414 Bancel, a main‑belt asteroid discovered on 11 October 1975 by astronomer Paul Wild at the Zimmerwald Observatory. The asteroid has an orbital period of about 4.1 years, a semi‑major axis of roughly 2.6 AU, and an absolute magnitude of 12.5, indicating a diameter near 10 kilometres assuming a typical albedo.

In transportation, the designation 3414 appears in several regional road systems. For example, Texas State Highway Loop 3414 is a short connector route in the Dallas–Fort Worth metropolitan area, while China’s National Highway 3414 links several towns in the Yunnan province. Both highways serve local traffic and are signed with the number 3414 in their respective jurisdictions.

The year 3414 AD, while far in the future, is occasionally used in speculative fiction and long‑term planning scenarios to denote a distant era. No historically recorded events are associated with that year at present.

Overall, 3414 functions primarily as a numeric identifier across mathematics, astronomy, and transport infrastructure, illustrating the diverse contexts in which simple integers acquire specific meanings.