3189

3189 is a natural number that comes after 3188 and before 3190. It is an odd, composite number and has several notable mathematical properties.

Its prime factorization is 3 × 1063. Since 1063 is prime, 3189 is a semiprime (the product of two primes). The number is divisible by 3, and the sum of its digits is 21, giving a digital root of 3. It is not divisible by 2 or 5, and quick checks show it is not divisible by other small primes such as 7, 11, or 13.

In different numeral bases, 3189 has distinct representations. In binary it is 110001110101. In octal it is 6165, and in hexadecimal it is C75. In Roman numerals the value is written as MMMCLXXXIX, corresponding to 3000 (MMM) + 100 (C) + 80 (LXXX) + 9 (IX).

A simple arithmetic property is that any odd number can be expressed as a difference of two consecutive squares; for 3189, 3189 = 1595^2 − 1594^2, illustrating this general truth.

As a concrete example in elementary number theory, 3189 is used to illustrate concepts such as semiprimality, base representations, and basic divisibility. It serves as a straightforward case for practicing factorization and for demonstrating how an odd composite number can have simple representations across different mathematical frameworks.