5166

5166 is the natural number that follows 5165 and precedes 5167. It is an even and composite integer.

In prime factorization terms, 5166 = 2 × 3^2 × 7 × 41. From this factorization, the number of positive divisors is 24. The sum of all positive divisors is 13,104, which yields a sum of proper divisors equal to 7,938. Because the sum of divisors exceeds the number itself, 5166 is an abundant number. It can also be expressed as 41 × 126, illustrating another form of its composite structure.

The digit sum of 5166 is 5 + 1 + 6 + 6 = 18. Since 5166 is divisible by 18 (5166 / 18 = 287), the number is a Harshad (Niven) number in base 10, and its digital root is 9.

Representations of 5166 in common bases include binary and hexadecimal: in binary it is 1010000101110, and in hexadecimal it is 0x142E. These base representations reflect its factorization and decimal value in alternate numeral systems.

5166 is a ubiquitous mathematical object in that it serves as a concrete example of parity (even), compositeness, factorization patterns (2 × 3^2 × 7 × 41), and divisor-related properties (abundant, Harshad number).