8264
8264 is a even composite number that follows 8263 and precedes 8265. It is composed of 8 distinct factors: 1, 2, 4, 8, 1033, 2066, 4132, 8264. Its prime factorization can be written as 2^3 × 1033. 8264 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8264 is represented as 10000001001000 in binary and 2048 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 1033) reveals 4 prime building blocks.
Divisible by 2
8264 ends in 4, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
8264 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 20 is not a multiple of 9.
Divisible by 10
8264 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 8264 within several notable number theory sequences:
Timeline
Deep dive
How 8264 breaks down
8264 carries 8 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 7246, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000001001000 supports bitwise reasoning, hexadecimal 2048 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8264 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8264 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8259–8269) to tune search ranges, and educators feature 8264 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 8264 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 8264
Is 8264 a prime number?
8264 is composite with 8 total factors and the prime factorization 2^3 × 1033.
What is the prime factorization of 8264?
It breaks down as 2^3 × 1033, multiplying the primes 2 × 2 × 2 × 1033.
How is 8264 represented in binary and hexadecimal?
8264 converts to 10000001001000 in binary and 2048 in hexadecimal, which are helpful for computer science applications.
Is 8264 a perfect square, cube, or triangular number?
8264 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8264?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.