4459

4459 is a natural number. Its prime factorization is 7^3 × 13, making it a composite number with eight positive divisors. The divisors are 1, 7, 13, 49, 91, 343, 637, and 4459.

In arithmetic terms, the sum of all divisors is σ(4459) = 400 × 14 = 5600, while the sum of proper divisors is 5600 − 4459 = 1141. The Euler totient function yields φ(4459) = 3528. The radical of the number, rad(4459), is 7 × 13 = 91. Since 1141 < 4459, 4459 is a deficient number.

In terms of base representations, 4459 has several compact forms. In base 7, it is 16000_7, since 4459 = 1×7^4 + 6×7^3. In binary, 4459 equals 1000101101011_2, and in hexadecimal it is 0x116B.

Classified algebraically, 4459 is not a prime, not a perfect square or cube, but it is a multiple of a cube (7^3) and a prime (13). Its prime exponents are (3, 1), so the number is not squarefree and has a nontrivial radical of 91.

As a general numeric identifier, 4459 does not have a widely noted special significance beyond its factorization properties; it functions as a typical example of a composite natural number in mathematical discussions.