3296
3296 is a even composite number that follows 3295 and precedes 3297. It is composed of 12 distinct factors: 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648, 3296. Its prime factorization can be written as 2^5 × 103. 3296 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3296 is represented as 110011100000 in binary and CE0 in hexadecimal. Historically, it is written as MMMCCXCVI in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^5 × 103) reveals 6 prime building blocks.
Divisible by 2
3296 ends in 6, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 96 form a multiple of 4.
Divisible by 5
3296 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
3296 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 3296 within several notable number theory sequences:
Timeline
Deep dive
How 3296 breaks down
3296 carries 12 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 3256, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110011100000 supports bitwise reasoning, hexadecimal CE0 aligns with computing notation, and the Roman numeral MMMCCXCVI keeps the encyclopedic tradition alive. These attributes make 3296 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3296 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3291–3301) to tune search ranges, and educators feature 3296 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, Deficient numbers) help historians, numerologists, and trivia writers tie 3296 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 3296
Is 3296 a prime number?
3296 is composite with 12 total factors and the prime factorization 2^5 × 103.
What is the prime factorization of 3296?
It breaks down as 2^5 × 103, multiplying the primes 2 × 2 × 2 × 2 × 2 × 103.
How is 3296 represented in binary and hexadecimal?
3296 converts to 110011100000 in binary and CE0 in hexadecimal, which are helpful for computer science applications.
Is 3296 a perfect square, cube, or triangular number?
3296 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3296?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.