8664
8664 is a even composite number that follows 8663 and precedes 8665. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 361, 456, 722, 1083, 1444, 2166, 2888, 4332, 8664. Its prime factorization can be written as 2^3 × 3 × 19^2. 8664 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8664 is represented as 10000111011000 in binary and 21D8 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^3 × 3 × 19^2) reveals 6 prime building blocks.
Divisible by 2
8664 ends in 4, so it is even.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
8664 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 24 is not a multiple of 9.
Divisible by 10
8664 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 8664 within several notable number theory sequences:
Timeline
Deep dive
How 8664 breaks down
8664 carries 24 distinct factors and a digit signature of 24 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 14196, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000111011000 supports bitwise reasoning, hexadecimal 21D8 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8664 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8664 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8659–8669) to tune search ranges, and educators feature 8664 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 8664 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 8664
Is 8664 a prime number?
8664 is composite with 24 total factors and the prime factorization 2^3 × 3 × 19^2.
What is the prime factorization of 8664?
It breaks down as 2^3 × 3 × 19^2, multiplying the primes 2 × 2 × 2 × 3 × 19 × 19.
How is 8664 represented in binary and hexadecimal?
8664 converts to 10000111011000 in binary and 21D8 in hexadecimal, which are helpful for computer science applications.
Is 8664 a perfect square, cube, or triangular number?
8664 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8664?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.