1007
1007 is a odd composite number that follows 1006 and precedes 1008. It is composed of 4 distinct factors: 1, 19, 53, 1007. Its prime factorization can be written as 19 × 53. 1007 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1007 is represented as 1111101111 in binary and 3EF in hexadecimal. Historically, it is written as MVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (19 × 53) reveals 2 prime building blocks.
Divisible by 2
1007 ends in 7, so it is odd.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 07 are not divisible by 4.
Divisible by 5
1007 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 8 is not a multiple of 9.
Divisible by 10
1007 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 1007 within several notable number theory sequences:
Timeline
Deep dive
How 1007 breaks down
1007 carries 4 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 73, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111101111 supports bitwise reasoning, hexadecimal 3EF aligns with computing notation, and the Roman numeral MVII keeps the encyclopedic tradition alive. These attributes make 1007 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1007 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1002–1012) to tune search ranges, and educators feature 1007 in worksheets about factor trees. Its binary footprint of length 10 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 1007 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 1007
Is 1007 a prime number?
1007 is composite with 4 total factors and the prime factorization 19 × 53.
What is the prime factorization of 1007?
It breaks down as 19 × 53, multiplying the primes 19 × 53.
How is 1007 represented in binary and hexadecimal?
1007 converts to 1111101111 in binary and 3EF in hexadecimal, which are helpful for computer science applications.
Is 1007 a perfect square, cube, or triangular number?
1007 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1007?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.