7007
7007 is a odd composite number that follows 7006 and precedes 7008. It is composed of 12 distinct factors: 1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007. Its prime factorization can be written as 7^2 × 11 × 13. 7007 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7007 is represented as 1101101011111 in binary and 1B5F in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (7^2 × 11 × 13) reveals 4 prime building blocks.
Divisible by 2
7007 ends in 7, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 07 are not divisible by 4.
Divisible by 5
7007 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 14 is not a multiple of 9.
Divisible by 10
7007 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 7007 within several notable number theory sequences:
Timeline
Deep dive
How 7007 breaks down
7007 carries 12 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 2569, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101101011111 supports bitwise reasoning, hexadecimal 1B5F aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7007 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7007 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7002–7012) to tune search ranges, and educators feature 7007 in worksheets about factor trees. Its binary footprint of length 13 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 7007 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 7007
Is 7007 a prime number?
7007 is composite with 12 total factors and the prime factorization 7^2 × 11 × 13.
What is the prime factorization of 7007?
It breaks down as 7^2 × 11 × 13, multiplying the primes 7 × 7 × 11 × 13.
How is 7007 represented in binary and hexadecimal?
7007 converts to 1101101011111 in binary and 1B5F in hexadecimal, which are helpful for computer science applications.
Is 7007 a perfect square, cube, or triangular number?
7007 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7007?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.