5572

5572 is a natural number, positioned between 5571 and 5573. It is an even composite number with the prime factorization 2^2 × 7 × 199. Accordingly, its positive divisors are 1, 2, 4, 7, 14, 28, 199, 398, 796, 1393, 2786, and 5572. The number is divisible by 4, 7, 199, and by any product of these factors, giving a total of 12 divisors.

In base representations, 5572 can be expressed as 1010111000100 in binary, 12704 in octal, and 15C4 in hexadecimal. The sum of its decimal digits is 19, so it is not divisible by 3 or 9. Its square root is approximately 74.7, indicating that 5572 is not a perfect square. It does not belong to common small-number sequences such as triangular or square numbers.

In mathematics, 5572 serves as an example of an even, composite number and a case study in factorization and divisibility. Its factorization into small primes (2^2, 7, and 199) leads to a structured set of divisors and predictable modular properties (for instance, it is divisible by 4, 7, and 199). As a natural number, it may appear in various theoretical contexts or algorithmic applications where divisor structure is of interest.

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