3304
3304 is a even composite number that follows 3303 and precedes 3305. It is composed of 16 distinct factors: 1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304. Its prime factorization can be written as 2^3 × 7 × 59. 3304 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3304 is represented as 110011101000 in binary and CE8 in hexadecimal. Historically, it is written as MMMCCCIV in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 7 × 59) reveals 5 prime building blocks.
Divisible by 2
3304 ends in 4, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
3304 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 10 is not a multiple of 9.
Divisible by 10
3304 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Abundant classification and digit analytics place 3304 within several notable number theory sequences:
Timeline
Deep dive
How 3304 breaks down
3304 carries 16 distinct factors and a digit signature of 10 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 3896, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110011101000 supports bitwise reasoning, hexadecimal CE8 aligns with computing notation, and the Roman numeral MMMCCCIV keeps the encyclopedic tradition alive. These attributes make 3304 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3304 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3299–3309) to tune search ranges, and educators feature 3304 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 3304 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 3304
Is 3304 a prime number?
3304 is composite with 16 total factors and the prime factorization 2^3 × 7 × 59.
What is the prime factorization of 3304?
It breaks down as 2^3 × 7 × 59, multiplying the primes 2 × 2 × 2 × 7 × 59.
How is 3304 represented in binary and hexadecimal?
3304 converts to 110011101000 in binary and CE8 in hexadecimal, which are helpful for computer science applications.
Is 3304 a perfect square, cube, or triangular number?
3304 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3304?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.