3008
3008 is a even composite number that follows 3007 and precedes 3009. It is composed of 14 distinct factors: 1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504, 3008. Its prime factorization can be written as 2^6 × 47. 3008 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3008 is represented as 101111000000 in binary and BC0 in hexadecimal. Historically, it is written as MMMVIII in Roman numerals.
Factor Analysis
14 FactorsProperties
The prime factorization (2^6 × 47) reveals 7 prime building blocks.
Divisible by 2
3008 ends in 8, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
3008 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 11 is not a multiple of 9.
Divisible by 10
3008 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Abundant classification and digit analytics place 3008 within several notable number theory sequences:
Timeline
Deep dive
How 3008 breaks down
3008 carries 14 distinct factors and a digit signature of 11 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 3088, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101111000000 supports bitwise reasoning, hexadecimal BC0 aligns with computing notation, and the Roman numeral MMMVIII keeps the encyclopedic tradition alive. These attributes make 3008 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3008 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3003–3013) to tune search ranges, and educators feature 3008 in worksheets about factor trees. Its binary footprint of length 12 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 3008 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 3008
Is 3008 a prime number?
3008 is composite with 14 total factors and the prime factorization 2^6 × 47.
What is the prime factorization of 3008?
It breaks down as 2^6 × 47, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 47.
How is 3008 represented in binary and hexadecimal?
3008 converts to 101111000000 in binary and BC0 in hexadecimal, which are helpful for computer science applications.
Is 3008 a perfect square, cube, or triangular number?
3008 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3008?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.