3562

3562 is a natural number that follows 3561 and precedes 3563. In mathematics, it is an even composite number.

Its prime factorization is 3562 = 2 × 13 × 137. Because all prime factors are distinct, 3562 is squarefree and has exactly eight positive divisors: 1, 2, 13, 26, 137, 274, 1781, and 3562. The sum of all divisors is 5796, so the sum of proper divisors is 2234, which is less than 3562, making it a deficient number. The digit sum is 16, giving a digital root of 7. In modular arithmetic, 3562 ≡ 2 (mod 4) and 3562 ≡ 1 (mod 3).

In other representations, 3562 is written in binary as 110111101010, and in hexadecimal as 0xDEA. In Roman numerals it is MMMDLXII, and in words it reads as three thousand five hundred sixty-two.

In number theory, 3562 serves as an example of a squarefree number that is the product of three distinct primes, i.e., a 3-almost prime. It is used in discussions of divisor functions, base representations, and properties of even composite numbers. There is no widely documented cultural or historical significance attached to the number beyond its mathematical properties.