3279
3279 is a odd composite number that follows 3278 and precedes 3280. It is composed of 4 distinct factors: 1, 3, 1093, 3279. Its prime factorization can be written as 3 × 1093. 3279 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3279 is represented as 110011001111 in binary and CCF in hexadecimal. Historically, it is written as MMMCCLXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 1093) reveals 2 prime building blocks.
Divisible by 2
3279 ends in 9, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 79 are not divisible by 4.
Divisible by 5
3279 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 21 is not a multiple of 9.
Divisible by 10
3279 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 3279 within several notable number theory sequences:
Timeline
Deep dive
How 3279 breaks down
3279 carries 4 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 1097, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110011001111 supports bitwise reasoning, hexadecimal CCF aligns with computing notation, and the Roman numeral MMMCCLXXIX keeps the encyclopedic tradition alive. These attributes make 3279 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3279 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3274–3284) to tune search ranges, and educators feature 3279 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 3279 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 3279
Is 3279 a prime number?
3279 is composite with 4 total factors and the prime factorization 3 × 1093.
What is the prime factorization of 3279?
It breaks down as 3 × 1093, multiplying the primes 3 × 1093.
How is 3279 represented in binary and hexadecimal?
3279 converts to 110011001111 in binary and CCF in hexadecimal, which are helpful for computer science applications.
Is 3279 a perfect square, cube, or triangular number?
3279 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3279?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.