2704
2704 is a even composite number that follows 2703 and precedes 2705. It is composed of 15 distinct factors: 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704. Its prime factorization can be written as 2^4 × 13^2. 2704 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2704 is represented as 101010010000 in binary and A90 in hexadecimal. Historically, it is written as MMDCCIV in Roman numerals. It also belongs to the perfect square sequence.
Factor Analysis
15 FactorsProperties
The prime factorization (2^4 × 13^2) reveals 6 prime building blocks.
Divisible by 2
2704 ends in 4, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
2704 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 13 is not a multiple of 9.
Divisible by 10
2704 does not end in 0.
Divisible by 11
The alternating digit sum -9 is not a multiple of 11.
Abundant classification and digit analytics place 2704 within several notable number theory sequences:
Timeline
Deep dive
How 2704 breaks down
2704 carries 15 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 2969, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010010000 supports bitwise reasoning, hexadecimal A90 aligns with computing notation, and the Roman numeral MMDCCIV keeps the encyclopedic tradition alive. These attributes make 2704 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2704 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2699–2709) to tune search ranges, and educators feature 2704 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, Perfect squares) help historians, numerologists, and trivia writers tie 2704 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 2704
Is 2704 a prime number?
2704 is composite with 15 total factors and the prime factorization 2^4 × 13^2.
What is the prime factorization of 2704?
It breaks down as 2^4 × 13^2, multiplying the primes 2 × 2 × 2 × 2 × 13 × 13.
How is 2704 represented in binary and hexadecimal?
2704 converts to 101010010000 in binary and A90 in hexadecimal, which are helpful for computer science applications.
Is 2704 a perfect square, cube, or triangular number?
2704 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2704?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.