13818

13818 is a positive integer that sits between 13817 and 13819. In number theory, it is an even composite number with several notable factorization properties.

Its prime factorization is 2 × 3 × 7^2 × 47, which can also be expressed as 294 × 47. This shows that 13818 is divisible by 2, 3, 7, 49, 47 and various combinations of these primes. Consequently, the number has 24 positive divisors in total.

The sum of all positive divisors of 13818 is 32832, which means that the sum of its proper divisors (excluding the number itself) is 19014. Since the proper divisors sum to a value greater than the number, 13818 is an abundant number.

In decimal representation, the digits of 13818 sum to 21, making 13818 a Harshad (or Niven) number in base 10, as 13818 divided by 21 equals 658. This reflects a divisibility property tied to the digit sum, a characteristic often noted in recreational and educational contexts.

Beyond these arithmetic properties, 13818 does not have a widely recognized mathematical constant or famous associated event. It serves primarily as an example of a relatively large, highly composite number with multiple small prime factors, illustrating common factorization, divisor, and abundance concepts in elementary number theory.