3211
3211 is a odd composite number that follows 3210 and precedes 3212. It is composed of 6 distinct factors: 1, 13, 19, 169, 247, 3211. Its prime factorization can be written as 13^2 × 19. 3211 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3211 is represented as 110010001011 in binary and C8B in hexadecimal. Historically, it is written as MMMCCXI in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (13^2 × 19) reveals 3 prime building blocks.
Divisible by 2
3211 ends in 1, so it is odd.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 11 are not divisible by 4.
Divisible by 5
3211 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 7 is not a multiple of 9.
Divisible by 10
3211 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 3211 within several notable number theory sequences:
Timeline
Deep dive
How 3211 breaks down
3211 carries 6 distinct factors and a digit signature of 7 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 449, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110010001011 supports bitwise reasoning, hexadecimal C8B aligns with computing notation, and the Roman numeral MMMCCXI keeps the encyclopedic tradition alive. These attributes make 3211 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3211 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3206–3216) to tune search ranges, and educators feature 3211 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 3211 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 3211
Is 3211 a prime number?
3211 is composite with 6 total factors and the prime factorization 13^2 × 19.
What is the prime factorization of 3211?
It breaks down as 13^2 × 19, multiplying the primes 13 × 13 × 19.
How is 3211 represented in binary and hexadecimal?
3211 converts to 110010001011 in binary and C8B in hexadecimal, which are helpful for computer science applications.
Is 3211 a perfect square, cube, or triangular number?
3211 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3211?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.