2008
2008 is a even composite number that follows 2007 and precedes 2009. It is composed of 8 distinct factors: 1, 2, 4, 8, 251, 502, 1004, 2008. Its prime factorization can be written as 2^3 × 251. 2008 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2008 is represented as 11111011000 in binary and 7D8 in hexadecimal. Historically, it is written as MMVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 251) reveals 4 prime building blocks.
Divisible by 2
2008 ends in 8, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
2008 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 10 is not a multiple of 9.
Divisible by 10
2008 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 2008 within several notable number theory sequences:
Timeline
Deep dive
How 2008 breaks down
2008 carries 8 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 1772, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11111011000 supports bitwise reasoning, hexadecimal 7D8 aligns with computing notation, and the Roman numeral MMVIII keeps the encyclopedic tradition alive. These attributes make 2008 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2008 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2003–2013) to tune search ranges, and educators feature 2008 in worksheets about factor trees. Its binary footprint of length 11 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 2008 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 2008
Is 2008 a prime number?
2008 is composite with 8 total factors and the prime factorization 2^3 × 251.
What is the prime factorization of 2008?
It breaks down as 2^3 × 251, multiplying the primes 2 × 2 × 2 × 251.
How is 2008 represented in binary and hexadecimal?
2008 converts to 11111011000 in binary and 7D8 in hexadecimal, which are helpful for computer science applications.
Is 2008 a perfect square, cube, or triangular number?
2008 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2008?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.