7239

7239 is a positive integer with several notable arithmetic properties. Its prime factorization is 3 × 19 × 127, a product of three distinct primes, which makes 7239 a sphenic number. As a result, it has exactly eight divisors: 1, 3, 19, 57, 127, 381, 2413, and 7239.

The sum of all divisors is σ(7239) = (1+3)(1+19)(1+127) = 10240. The sum of its proper divisors (excluding itself) is 10240 − 7239 = 3001. Therefore, 7239 is not a perfect number and is classified as deficient since the aliquot sum 3001 is less than 7239.

In terms of representations and modular properties, 7239 is odd and divisible by 3 (3 × 2413). In binary, 7239 is 1110000010111. The decimal digits sum to 21, giving a digital root of 3, so 7239 ≡ 3 (mod 9) and ≡ 0 (mod 3). The number is also congruent to 3 modulo 4.

Overall, 7239 serves as a clear example of a sphenic number: three distinct prime factors, eight divisors, and a predictable divisor-sum pattern. It highlights how the factorization directly determines divisor count and related arithmetic properties.