5172

5172 is a positive integer that lies between 5171 and 5173. In mathematics, it is an even, composite number.

Factorization and divisors: The prime factorization of 5172 is 2^2 × 3 × 431, where 431 is a prime. From this factorization, the positive divisors are 1, 2, 3, 4, 6, 12, 431, 862, 1293, 1724, 2586, and 5172, for a total of 12 divisors. It can also be expressed as 12 × 431.

Arithmetic properties: The sum of its digits is 15, so 5172 is divisible by 3. The last two digits form 72, which is divisible by 4, so 5172 is divisible by 4. It is not divisible by 5, 9, or 10, and it is even.

Abundance: The sum of all positive divisors of 5172 is 12096; subtracting 5172 gives a sum of proper divisors equal to 6924, which exceeds 5172. Therefore, 5172 is an abundant number, meaning the sum of its proper divisors is greater than the number itself.

Context: 5172 factors as 12 × 431, highlighting its composition from the primes 2, 3, and 431. There are no widely known constants or cultural references specifically associated with this number.