3267
3267 is a odd composite number that follows 3266 and precedes 3268. It is composed of 12 distinct factors: 1, 3, 9, 11, 27, 33, 99, 121, 297, 363, 1089, 3267. Its prime factorization can be written as 3^3 × 11^2. 3267 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3267 is represented as 110011000011 in binary and CC3 in hexadecimal. Historically, it is written as MMMCCLXVII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (3^3 × 11^2) reveals 5 prime building blocks.
Divisible by 2
3267 ends in 7, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 67 are not divisible by 4.
Divisible by 5
3267 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 18 is a multiple of 9.
Divisible by 10
3267 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 3267 within several notable number theory sequences:
Timeline
Deep dive
How 3267 breaks down
3267 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 2053, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110011000011 supports bitwise reasoning, hexadecimal CC3 aligns with computing notation, and the Roman numeral MMMCCLXVII keeps the encyclopedic tradition alive. These attributes make 3267 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3267 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3262–3272) to tune search ranges, and educators feature 3267 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 3267 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 3267
Is 3267 a prime number?
3267 is composite with 12 total factors and the prime factorization 3^3 × 11^2.
What is the prime factorization of 3267?
It breaks down as 3^3 × 11^2, multiplying the primes 3 × 3 × 3 × 11 × 11.
How is 3267 represented in binary and hexadecimal?
3267 converts to 110011000011 in binary and CC3 in hexadecimal, which are helpful for computer science applications.
Is 3267 a perfect square, cube, or triangular number?
3267 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3267?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.