461

461 is the natural number that follows 460 and precedes 462. It is an odd integer and a prime number. In the sequence of primes, it forms a twin-prime pair with 463, since both 461 and 463 are prime and differ by two. The decimal digit sum is 11, and its prime status implies it has no divisors other than 1 and itself.

In common numeral systems, 461 is represented as 111001101 in binary, 715 in octal, and 1CD in hexadecimal. In Roman numerals it is written CDLXI.

As a calendar designation, 461 can refer to a year in the BCE era (461 BCE) or in the CE era (461 CE), each corresponding to a different historical period in the classical and late antique world.

Other uses: 461 appears in various catalogs and list references as a numeric identifier; within mathematics, it is sometimes encountered in problems involving prime gaps, modular arithmetic, and number theory.

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