3559

3559 is a natural number that sits between 3558 and 3560. It is an odd number and does not end in 0 or 5. In mathematics, 3559 is notable for being a prime number.

A quick primality check shows that 3559 has no divisors other than 1 and itself. Since the square root of 3559 is about 59.7, a test of divisibility by primes up to 59 confirms its primality. As a prime, its only positive divisors are 1 and 3559, and it does not factor into a product of smaller integers.

3559 has several simple modular properties. It is congruent to 3 modulo 4, which implies it cannot be expressed as a sum of two squares of integers. Its digital root is 4, since 3 + 5 + 5 + 9 = 22 and 2 + 2 = 4. It is also congruent to 4 modulo 9, reflecting its digits’ sum.

In base representations, 3559 appears as follows: in binary it is 110111100111, in octal it is 6747, in hexadecimal it is DE7, and in Roman numerals it can be written as MMMDLIX.

These properties characterize 3559 as a prime in the set of natural numbers, with standard representations across common numeral systems.