15747

15747 is a natural number that lies between 15746 and 15748. In elementary number theory, it is commonly cited as an example of a composite integer with a straightforward prime factorization, illustrating how a number can be broken down into prime components.

The arithmetic of 15747 shows it is odd and divisible by 3, as indicated by the digit sum of 24. Its prime factorization is 15747 = 3 × 29 × 181, with 3, 29, and 181 all prime. Because its prime factors are distinct, 15747 is square-free and has exactly eight positive divisors: 1, 3, 29, 181, 87, 543, 5249, and 15747. The digit sum of 24 means the number is not divisible by 24, so 15747 is not a Harshad number. In binary, 15747 is represented as 11110110000011₂.

As a product of three distinct primes, 15747 demonstrates a common pattern in factorization exercises: a composite number formed from multiple prime factors rather than a single prime power. It is neither a prime nor a perfect power or square, highlighting the variety found within the set of composite integers.