280275

280275 is a positive integer. In its prime factorization it factors as 3 × 5^2 × 37 × 101, which makes it a composite number and not square-free due to the squared factor 5^2.

The factorization implies that 280275 has 24 positive divisors, as determined by the exponents in its prime decomposition (1+1)(2+1)(1+1)(1+1) = 2 × 3 × 2 × 2. The sum of its divisors, denoted σ(280275), equals 480,624. Euler’s totient function gives φ(280275) = 144,000, meaning there are 144,000 integers less than 280,275 that are relatively prime to it.

From a simple divisibility perspective, the digits of 280275 sum to 24, indicating divisibility by 3, and the final digit is 5, indicating divisibility by 5. The combination of these properties aligns with its known prime factorization.

In broader mathematical use, 280275 serves as an example of a multi-prime, non-square-free integer and illustrates how divisor counts, divisor sums, and totients are computed from prime factorization. It does not have a widely noted significance beyond standard number-theory characteristics and is typically encountered in contexts illustrating multiplicative functions or divisor-related computations.