8564
8564 is a even composite number that follows 8563 and precedes 8565. It is composed of 6 distinct factors: 1, 2, 4, 2141, 4282, 8564. Its prime factorization can be written as 2^2 × 2141. 8564 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8564 is represented as 10000101110100 in binary and 2174 in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 2141) reveals 3 prime building blocks.
Divisible by 2
8564 ends in 4, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
8564 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 23 is not a multiple of 9.
Divisible by 10
8564 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 8564 within several notable number theory sequences:
Timeline
Deep dive
How 8564 breaks down
8564 carries 6 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 6430, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000101110100 supports bitwise reasoning, hexadecimal 2174 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8564 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8564 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8559–8569) to tune search ranges, and educators feature 8564 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, Deficient numbers) help historians, numerologists, and trivia writers tie 8564 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 8564
Is 8564 a prime number?
8564 is composite with 6 total factors and the prime factorization 2^2 × 2141.
What is the prime factorization of 8564?
It breaks down as 2^2 × 2141, multiplying the primes 2 × 2 × 2141.
How is 8564 represented in binary and hexadecimal?
8564 converts to 10000101110100 in binary and 2174 in hexadecimal, which are helpful for computer science applications.
Is 8564 a perfect square, cube, or triangular number?
8564 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8564?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.