8704
8704 is a even composite number that follows 8703 and precedes 8705. It is composed of 20 distinct factors: 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352, 8704. Its prime factorization can be written as 2^9 × 17. 8704 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8704 is represented as 10001000000000 in binary and 2200 in hexadecimal.
Factor Analysis
20 FactorsProperties
The prime factorization (2^9 × 17) reveals 10 prime building blocks.
Divisible by 2
8704 ends in 4, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
8704 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 19 is not a multiple of 9.
Divisible by 10
8704 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Abundant classification and digit analytics place 8704 within several notable number theory sequences:
Timeline
Deep dive
How 8704 breaks down
8704 carries 20 distinct factors and a digit signature of 19 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 9710, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001000000000 supports bitwise reasoning, hexadecimal 2200 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8704 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8704 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8699–8709) to tune search ranges, and educators feature 8704 in worksheets about factor trees. Its binary footprint of length 14 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 8704 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 8704
Is 8704 a prime number?
8704 is composite with 20 total factors and the prime factorization 2^9 × 17.
What is the prime factorization of 8704?
It breaks down as 2^9 × 17, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 17.
How is 8704 represented in binary and hexadecimal?
8704 converts to 10001000000000 in binary and 2200 in hexadecimal, which are helpful for computer science applications.
Is 8704 a perfect square, cube, or triangular number?
8704 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8704?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.