4704

4704 is a natural number that follows 4703 and precedes 4705. In mathematics, it is an even composite number with a prime factorization of 2⁴ × 3 × 7² (16 × 3 × 49). Its divisors total 30, and the sum of its proper divisors equals 6452, making 4704 an abundant number because the sum exceeds the number itself. The number is also a Harshad (or Niven) number in base 10, as it is divisible by the sum of its digits (4 + 7 + 0 + 4 = 15, and 4704 ÷ 15 = 313.6, which does not divide evenly; however, in base 12, its digit sum is 4 + 7 + 0 + 4 = 15₁₂, and 4704₁₀ is divisible by 15₁₂, satisfying the Harshad condition in that base).

In binary representation, 4704 is written as 1001001100000₂, and in hexadecimal it appears as 1260₁₆. The number’s appearance in various sequences includes its presence in the OEIS as a member of the sequence of numbers divisible by the product of the first three primes (2 × 3 × 5 = 30), since 4704 ÷ 30 = 156.8, showing it is not an exact multiple, but it does belong to the set of numbers that are multiples of 16 and 7² simultaneously.

Outside pure mathematics, 4704 serves as a designation in several contexts. In the United States, 4704 is the ZIP code for a small unincorporated area within the state of Indiana. The number also appears in astronomy as the minor planet designation (4704) Hattori, a main-belt asteroid discovered in 1989. Additionally, 4704 is used as a model number for certain industrial equipment and as an identifier in some cataloging systems.