3221
3221 is a odd prime number that follows 3220 and precedes 3222. As a prime number, 3221 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3221. 3221 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3221 is represented as 110010010101 in binary and C95 in hexadecimal. Historically, it is written as MMMCCXXI in Roman numerals.
Factor Analysis
2 FactorsProperties
3221 is prime, so its only factors are 1 and 3221.
Divisible by 2
3221 ends in 1, so it is odd.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 21 are not divisible by 4.
Divisible by 5
3221 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 8 is not a multiple of 9.
Divisible by 10
3221 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 3221 within several notable number theory sequences:
Timeline
Deep dive
How 3221 breaks down
3221 carries 2 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110010010101 supports bitwise reasoning, hexadecimal C95 aligns with computing notation, and the Roman numeral MMMCCXXI keeps the encyclopedic tradition alive. These attributes make 3221 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3221 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3216–3226) to tune search ranges, and educators feature 3221 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 3221 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 3221
Is 3221 a prime number?
3221 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3221?
3221 is already prime, so the factorization is simply 3221.
How is 3221 represented in binary and hexadecimal?
3221 converts to 110010010101 in binary and C95 in hexadecimal, which are helpful for computer science applications.
Is 3221 a perfect square, cube, or triangular number?
3221 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3221?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.