4627

4627 is a natural number that follows 4626 and precedes 4628. In mathematics it is treated as a four-digit integer with standard arithmetic properties. It has no widely cited constants or theorems uniquely associated with it, but it serves as a concrete example useful for illustrating factorization and base representations.

4627 is composite and has the factorization 4627 = 7 × 661, with 7 and 661 both prime. This makes 4627 a semiprime. It is an odd number and not a perfect square; its square root is just over 68 (since 68^2 = 4624). The digital sum is 4 + 6 + 2 + 7 = 19, so it is not divisible by 3 or 9. It is congruent to 3 modulo 4.

In different numeral systems, 4627 has the representations: binary 1001000010011, octal 11023, and hexadecimal 0x1213. These alternate bases illustrate how the same integer appears in different formats, while preserving its underlying value as a product of two primes.

Beyond pure number theory, 4627 does not have widely recognized historical or scientific associations. As a calendar year, 4627 CE would lie many centuries in the future and is sometimes used in fiction or theoretical discussions about long-term chronology. In mathematical catalogs, it is noted primarily as a four-digit semiprime and a useful example in base conversion.

See also: semiprime; list of composite numbers.

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