36530

36530 is a positive integer that sits between 36529 and 36531. It is an even and composite number, and it has several straightforward arithmetic properties that can be described without context beyond number theory.

Prime factorization and divisors: 36530 factors as 2 × 5 × 13 × 281. All prime factors are distinct, so 36530 is square-free. As a result, it has 16 positive divisors: 1, 2, 5, 10, 13, 26, 65, 130, 281, 562, 1405, 2810, 3653, 7306, 18265, and 36530.

Sum of divisors and deficiency: The sum of all positive divisors is (1+2)(1+5)(1+13)(1+281) = 3 × 6 × 14 × 282 = 71064. Therefore, the sum of proper divisors is 71064 − 36530 = 34534. Since 34534 is less than 36530, the number is classified as deficient.

Digit and modular properties: The digit sum of 36530 is 3+6+5+3+0 = 17, giving a digital root of 8. In modular arithmetic, 36530 ≡ 2 (mod 3) and is even (divisible by 2) and divisible by 5.

Uses and context: In mathematics, 36530 is encountered as an example of a square-free, deficient composite with multiple distinct prime factors. Beyond arithmetic, such numbers may appear as identifiers, catalog numbers, or labels in various datasets or systems, but 36530 has no intrinsic meaning beyond its arithmetic structure. See also numbers in the 36000s or other square-free composites for comparison.