3007
3007 is a odd composite number that follows 3006 and precedes 3008. It is composed of 4 distinct factors: 1, 31, 97, 3007. Its prime factorization can be written as 31 × 97. 3007 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3007 is represented as 101110111111 in binary and BBF in hexadecimal. Historically, it is written as MMMVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (31 × 97) reveals 2 prime building blocks.
Divisible by 2
3007 ends in 7, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 07 are not divisible by 4.
Divisible by 5
3007 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
3007 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 3007 within several notable number theory sequences:
Timeline
Deep dive
How 3007 breaks down
3007 carries 4 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 129, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101110111111 supports bitwise reasoning, hexadecimal BBF aligns with computing notation, and the Roman numeral MMMVII keeps the encyclopedic tradition alive. These attributes make 3007 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3007 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3002–3012) to tune search ranges, and educators feature 3007 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, Deficient numbers) help historians, numerologists, and trivia writers tie 3007 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 3007
Is 3007 a prime number?
3007 is composite with 4 total factors and the prime factorization 31 × 97.
What is the prime factorization of 3007?
It breaks down as 31 × 97, multiplying the primes 31 × 97.
How is 3007 represented in binary and hexadecimal?
3007 converts to 101110111111 in binary and BBF in hexadecimal, which are helpful for computer science applications.
Is 3007 a perfect square, cube, or triangular number?
3007 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3007?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.