3228
3228 is a even composite number that follows 3227 and precedes 3229. It is composed of 12 distinct factors: 1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614, 3228. Its prime factorization can be written as 2^2 × 3 × 269. 3228 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3228 is represented as 110010011100 in binary and C9C in hexadecimal. Historically, it is written as MMMCCXXVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 3 × 269) reveals 4 prime building blocks.
Divisible by 2
3228 ends in 8, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 28 form a multiple of 4.
Divisible by 5
3228 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 15 is not a multiple of 9.
Divisible by 10
3228 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Abundant classification and digit analytics place 3228 within several notable number theory sequences:
Timeline
Deep dive
How 3228 breaks down
3228 carries 12 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 4332, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110010011100 supports bitwise reasoning, hexadecimal C9C aligns with computing notation, and the Roman numeral MMMCCXXVIII keeps the encyclopedic tradition alive. These attributes make 3228 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3228 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3223–3233) to tune search ranges, and educators feature 3228 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 3228 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 3228
Is 3228 a prime number?
3228 is composite with 12 total factors and the prime factorization 2^2 × 3 × 269.
What is the prime factorization of 3228?
It breaks down as 2^2 × 3 × 269, multiplying the primes 2 × 2 × 3 × 269.
How is 3228 represented in binary and hexadecimal?
3228 converts to 110010011100 in binary and C9C in hexadecimal, which are helpful for computer science applications.
Is 3228 a perfect square, cube, or triangular number?
3228 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3228?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.