13699

13699 is a natural number that sits between 13698 and 13700. It is a composite number with prime factorization 7 × 19 × 103, meaning it has three distinct prime factors. As such, 13699 is squarefree and cube-free, and it qualifies as a 3-almost prime (a number with exactly three prime factors counting multiplicity). Its factorization also confirms that it is not divisible by 2, 3, or 5.

In common representations, 13699 is written in binary as 11010110000011, in hexadecimal as 0x3583, and in octal as 32603. The sum of its decimal digits is 28, giving a digital root of 1 and a congruence of 1 modulo 9. Its divisibility properties align with its prime factors: it is divisible by 7, 19, and 103, and not divisible by any of 2, 3, or 5. Its modular fingerprints include a remainder of 4 when taken modulo 11.

From a mathematical perspective, 13699 serves as an example of a number with exactly three distinct prime factors, i.e., a squarefree 3-almost prime. It is not a semiprime, which would require exactly two prime factors. While there is no widely known special theorem tied to this specific value, it illustrates how the factor structure of a number governs its arithmetic and base-representation properties.