5631

5631 is a positive integer that comes after 5630 and before 5632. It is an odd, composite number with a simple prime factorization: 5631 = 3 × 1877, where 1877 is a prime number. Therefore, 5631 is squarefree and not a prime power.

5631 is divisible by 3 (the sum of its digits is 15), but it is not divisible by 9 or 27. It leaves a remainder of 3 when divided by 4 and a remainder of 7 when divided by 8.

Representations: in base 2, 5631 equals 1010111111111; in base 16, it equals 0x15FF. The decimal digit sum is 15, and the digital root is 6.

From a number-theory perspective, since 3 is a prime congruent to 3 mod 4 and appears to the first power in the factorization, 5631 cannot be expressed as a sum of two squares.

It is not a square or a cube, and it is not a Fibonacci or triangular number. As a multiple of 3, it belongs to the sequence of integers divisible by 3, but beyond that it does not have widely noted special status in standard mathematical catalogs.