207
207 is a odd composite number that follows 206 and precedes 208. It is composed of 6 distinct factors: 1, 3, 9, 23, 69, 207. Its prime factorization can be written as 3^2 × 23. 207 is classified as a deficient number based on the sum of its proper divisors. In computer science, 207 is represented as 11001111 in binary and CF in hexadecimal. Historically, it is written as CCVII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 23) reveals 3 prime building blocks.
Divisible by 2
207 ends in 7, so it is odd.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 07 are not divisible by 4.
Divisible by 5
207 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 9 is a multiple of 9.
Divisible by 10
207 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 207 within several notable number theory sequences:
Timeline
Deep dive
How 207 breaks down
207 carries 6 distinct factors and a digit signature of 9 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 105, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11001111 supports bitwise reasoning, hexadecimal CF aligns with computing notation, and the Roman numeral CCVII keeps the encyclopedic tradition alive. These attributes make 207 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 207 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (202–212) to tune search ranges, and educators feature 207 in worksheets about factor trees. Its binary footprint of length 8 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 207 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 207
Is 207 a prime number?
207 is composite with 6 total factors and the prime factorization 3^2 × 23.
What is the prime factorization of 207?
It breaks down as 3^2 × 23, multiplying the primes 3 × 3 × 23.
How is 207 represented in binary and hexadecimal?
207 converts to 11001111 in binary and CF in hexadecimal, which are helpful for computer science applications.
Is 207 a perfect square, cube, or triangular number?
207 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 207?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.