18016

18016 is an even composite integer. Its prime factorization is 2^5 × 563, with 563 being a prime number. This factorization yields a total of 12 positive divisors. The number is divisible by 16 and by 32, but not by 64, since 18016 ÷ 64 is not an integer. The Möbius function μ(18016) equals 0 because the factorization includes a squared prime (2^5).

In base-10 arithmetic, 18016 is a Harshad (or Niven) number: the sum of its digits is 1 + 8 + 0 + 1 + 6 = 16, and 18016 is divisible by 16 (18016 ÷ 16 = 1126). This is a common property among many composite integers and is often noted in recreational number theory.

Representations of 18016 in common numeral systems include binary, octal, and hexadecimal. In binary it is 100011001100000. In octal it is 43140. In hexadecimal it is 0x4660, which equals 18016 in decimal.

Geometrically or contextually, 18016 does not correspond to a widely recognized constant or special case, but it serves as a representative example of an even composite with a simple factorization and multiple base representations. As a member of the integers, it sits between 18015 and 18017 on the number line and shares divisibility properties with other multiples of 16 and 32.