3222
3222 is a even composite number that follows 3221 and precedes 3223. It is composed of 12 distinct factors: 1, 2, 3, 6, 9, 18, 179, 358, 537, 1074, 1611, 3222. Its prime factorization can be written as 2 × 3^2 × 179. 3222 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3222 is represented as 110010010110 in binary and C96 in hexadecimal. Historically, it is written as MMMCCXXII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 3^2 × 179) reveals 4 prime building blocks.
Divisible by 2
3222 ends in 2, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 22 are not divisible by 4.
Divisible by 5
3222 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 9 is a multiple of 9.
Divisible by 10
3222 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 3222 within several notable number theory sequences:
Timeline
Deep dive
How 3222 breaks down
3222 carries 12 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 3798, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110010010110 supports bitwise reasoning, hexadecimal C96 aligns with computing notation, and the Roman numeral MMMCCXXII keeps the encyclopedic tradition alive. These attributes make 3222 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3222 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3217–3227) to tune search ranges, and educators feature 3222 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, Abundant numbers) help historians, numerologists, and trivia writers tie 3222 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 3222
Is 3222 a prime number?
3222 is composite with 12 total factors and the prime factorization 2 × 3^2 × 179.
What is the prime factorization of 3222?
It breaks down as 2 × 3^2 × 179, multiplying the primes 2 × 3 × 3 × 179.
How is 3222 represented in binary and hexadecimal?
3222 converts to 110010010110 in binary and C96 in hexadecimal, which are helpful for computer science applications.
Is 3222 a perfect square, cube, or triangular number?
3222 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3222?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.