4689

4689 is a natural number that follows 4688 and precedes 4690. In mathematical terms, it is an odd composite number with the prime factorization 3^2 × 521, where 521 is a prime number. This makes 4689 divisible by 3 and by 9, but not by 27; it is not divisible by 2, 5, or 7.

The digit sum of 4689 is 4 + 6 + 8 + 9 = 27, giving a digital root of 9. The digits multiply to 4 × 6 × 8 × 9 = 1728, which equals 12^3, an incidental but notable observation about this particular arrangement of digits.

In common bases, 4689 has the representations 0x1251 in hexadecimal and 1001001001001 in binary. These base representations reflect the same value expressed in different numeral systems and can be useful in computational contexts or numeral theory exercises.

Additional properties include that 4689 is not a prime, given its factorization, and it is not a Harshad number in base 10, since it is not divisible by the sum of its digits (27). Overall, 4689 is primarily notable for its factorization into 3^2 × 521 and its simple base representations, rather than for a broader mathematical or cultural significance.