8964
8964 is a even composite number that follows 8963 and precedes 8965. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 83, 108, 166, 249, 332, 498, 747, 996, 1494, 2241, 2988, 4482, 8964. Its prime factorization can be written as 2^2 × 3^3 × 83. 8964 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8964 is represented as 10001100000100 in binary and 2304 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 3^3 × 83) reveals 6 prime building blocks.
Divisible by 2
8964 ends in 4, so it is even.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
8964 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 27 is a multiple of 9.
Divisible by 10
8964 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 8964 within several notable number theory sequences:
Timeline
Deep dive
How 8964 breaks down
8964 carries 24 distinct factors and a digit signature of 27 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 14556, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001100000100 supports bitwise reasoning, hexadecimal 2304 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8964 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8964 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8959–8969) to tune search ranges, and educators feature 8964 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 8964 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 8964
Is 8964 a prime number?
8964 is composite with 24 total factors and the prime factorization 2^2 × 3^3 × 83.
What is the prime factorization of 8964?
It breaks down as 2^2 × 3^3 × 83, multiplying the primes 2 × 2 × 3 × 3 × 3 × 83.
How is 8964 represented in binary and hexadecimal?
8964 converts to 10001100000100 in binary and 2304 in hexadecimal, which are helpful for computer science applications.
Is 8964 a perfect square, cube, or triangular number?
8964 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8964?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.