10166

10166 is a natural number that follows 10165 and precedes 10167. It is an even integer, and in decimal representation it reads as 1, 0, 1, 6, 6. In other common bases, it equals 0x27B6 in hexadecimal and 10011110110110 in binary.

Its prime factorization is 2 × 13 × 17 × 23, making 10166 a squarefree number with four distinct prime factors. Consequently, it has 16 positive divisors. The full list of divisors is 1, 2, 13, 17, 23, 26, 34, 46, 221, 299, 391, 442, 598, 782, 5083, and 10166. The sum of all divisors is 18144, so the sum of proper divisors is 18144 − 10166 = 7978, which is less than 10166, indicating that 10166 is a deficient number. Euler’s totient function value is φ(10166) = 4224.

In decimal, hexadecimal, and binary, 10166 has the representations 10166, 0x27B6, and 10011110110110 respectively. The number’s structure as a product of four distinct primes means it is not divisible by any square greater than 1 and has several small-factor combinations, such as 2×13 = 26, 2×17 = 34, 2×23 = 46, 13×17 = 221, and 13×23 = 299 among others.

Beyond mathematics, 10166 may appear as an identifier in catalogs, models, or postal codes, but there is no widely recognized historical or scientific significance universally attached to this specific integer.