5673

5673 is a natural number that follows 5672 and precedes 5674. It is an odd composite number, with prime factorization 3 × 31 × 61. Because the prime factors are distinct, 5673 is squarefree and has exactly eight positive divisors: 1, 3, 31, 61, 93, 183, 1891, and 5673. As a product of three distinct primes, it is an example of a 3-almost prime.

In common numeral systems, 5673 is written as 5673 in decimal, 0x1629 in hexadecimal, and 1011000101001 in binary. In modular arithmetic, it is congruent to 0 modulo 3 and congruent to 3 modulo 9 (the sum of its digits is 21, which reduces to 3 mod 9).

5673 does not belong to the primes, squares, or cubes, and it is not a multiple of 5. It can appear in mathematical problems as a representative example of a number with exactly three prime factors and as a case study in factorization of squarefree integers.

The number has no widely recognized named significance in mathematics beyond its factorization properties, and there are no notable historical events associated with it. It is, however, representative of the kind of integers used to illustrate basic properties of divisors, prime factorization, and modular arithmetic.