5556

5556 is a natural number that follows 5555 and precedes 5557. It is an even and composite number with several straightforward arithmetic properties.

Its prime factorization is 2^2 × 3 × 463. From this factorization, the full set of positive divisors is: 1, 2, 3, 4, 6, 12, 463, 926, 1389, 1852, 2778, and 5556. The number is divisible by 4, 6, 12, and, of course, by 3 and 2 as well. The sum of all divisors including itself is 12,992, making the sum of proper divisors equal to 7,436.

5556 is an abundant number, since the sum of its proper divisors (7,436) exceeds the number itself (5,556).

In various base representations, 5556 appears as follows: binary 1010110110100, octal 12664, and hexadecimal 0x15B4.

For modular arithmetic, 5556 is divisible by 3 and by 4 (since it is a multiple of 12), and its digit-sum is 21, so it is not divisible by the digit-sum (21), i.e., it is not a Harshad number in base 10.

Overall, 5556 is primarily characterized as a small, even, abundant composite number with several simple divisors and stable representations across common numeral systems.