4046

4046 is a natural number that follows 4045 and precedes 4047. It is even and composite, with prime factorization 2 × 7 × 17^2 (2 × 7 × 289). This makes it divisible by 2, 7, 17, 34, 119, 238, 289, 578, 2023, and 4046, for a total of 12 positive divisors.

The positive divisors of 4046 are: 1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, and 4046. Its parity and factorization also imply it is not a prime, not a perfect square, and not a cube. The sum of its decimal digits is 14, giving a digital root of 5.

In different numeral systems, 4046 is represented as 111111001110 in binary, 0xFCE in hexadecimal, and 0o7716 in octal. These representations reflect its underlying factor structure and place value in various bases.

In broader usage, 4046 can appear as a year in historical or future contexts (for example, 4046 CE or 4046 AH). It can also serve as a catalog, model, or identification number in products, parts, or datasets where a four-digit code is assigned. There is no widely recognized mathematical theorem or notable event specifically associated with the number 4046 beyond its basic numerical properties.