3256
3256 is a even composite number that follows 3255 and precedes 3257. It is composed of 16 distinct factors: 1, 2, 4, 8, 11, 22, 37, 44, 74, 88, 148, 296, 407, 814, 1628, 3256. Its prime factorization can be written as 2^3 × 11 × 37. 3256 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3256 is represented as 110010111000 in binary and CB8 in hexadecimal. Historically, it is written as MMMCCLVI in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 11 × 37) reveals 5 prime building blocks.
Divisible by 2
3256 ends in 6, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 56 form a multiple of 4.
Divisible by 5
3256 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 16 is not a multiple of 9.
Divisible by 10
3256 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 3256 within several notable number theory sequences:
Timeline
Deep dive
How 3256 breaks down
3256 carries 16 distinct factors and a digit signature of 16 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 3584, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110010111000 supports bitwise reasoning, hexadecimal CB8 aligns with computing notation, and the Roman numeral MMMCCLVI keeps the encyclopedic tradition alive. These attributes make 3256 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3256 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3251–3261) to tune search ranges, and educators feature 3256 in worksheets about factor trees. Its binary footprint of length 12 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 3256 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 3256
Is 3256 a prime number?
3256 is composite with 16 total factors and the prime factorization 2^3 × 11 × 37.
What is the prime factorization of 3256?
It breaks down as 2^3 × 11 × 37, multiplying the primes 2 × 2 × 2 × 11 × 37.
How is 3256 represented in binary and hexadecimal?
3256 converts to 110010111000 in binary and CB8 in hexadecimal, which are helpful for computer science applications.
Is 3256 a perfect square, cube, or triangular number?
3256 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3256?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.