267
267 is a odd composite number that follows 266 and precedes 268. It is composed of 4 distinct factors: 1, 3, 89, 267. Its prime factorization can be written as 3 × 89. 267 is classified as a deficient number based on the sum of its proper divisors. In computer science, 267 is represented as 100001011 in binary and 10B in hexadecimal. Historically, it is written as CCLXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 89) reveals 2 prime building blocks.
Divisible by 2
267 ends in 7, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 67 are not divisible by 4.
Divisible by 5
267 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 15 is not a multiple of 9.
Divisible by 10
267 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 267 within several notable number theory sequences:
Timeline
Deep dive
How 267 breaks down
267 carries 4 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 93, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100001011 supports bitwise reasoning, hexadecimal 10B aligns with computing notation, and the Roman numeral CCLXVII keeps the encyclopedic tradition alive. These attributes make 267 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 267 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (262–272) to tune search ranges, and educators feature 267 in worksheets about factor trees. Its binary footprint of length 9 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 267 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 267
Is 267 a prime number?
267 is composite with 4 total factors and the prime factorization 3 × 89.
What is the prime factorization of 267?
It breaks down as 3 × 89, multiplying the primes 3 × 89.
How is 267 represented in binary and hexadecimal?
267 converts to 100001011 in binary and 10B in hexadecimal, which are helpful for computer science applications.
Is 267 a perfect square, cube, or triangular number?
267 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 267?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.