8256
8256 is a even composite number that follows 8255 and precedes 8257. It is composed of 28 distinct factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128, 8256. Its prime factorization can be written as 2^6 × 3 × 43. 8256 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8256 is represented as 10000001000000 in binary and 2040 in hexadecimal. It also belongs to the triangular number sequence.
Factor Analysis
28 FactorsProperties
The prime factorization (2^6 × 3 × 43) reveals 8 prime building blocks.
Divisible by 2
8256 ends in 6, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 56 form a multiple of 4.
Divisible by 5
8256 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 21 is not a multiple of 9.
Divisible by 10
8256 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 8256 within several notable number theory sequences:
Timeline
Deep dive
How 8256 breaks down
8256 carries 28 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 14096, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000001000000 supports bitwise reasoning, hexadecimal 2040 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8256 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8256 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8251–8261) to tune search ranges, and educators feature 8256 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, Triangular numbers) help historians, numerologists, and trivia writers tie 8256 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 8256
Is 8256 a prime number?
8256 is composite with 28 total factors and the prime factorization 2^6 × 3 × 43.
What is the prime factorization of 8256?
It breaks down as 2^6 × 3 × 43, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 3 × 43.
How is 8256 represented in binary and hexadecimal?
8256 converts to 10000001000000 in binary and 2040 in hexadecimal, which are helpful for computer science applications.
Is 8256 a perfect square, cube, or triangular number?
8256 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 8256?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.