3317
3317 is a odd composite number that follows 3316 and precedes 3318. It is composed of 4 distinct factors: 1, 31, 107, 3317. Its prime factorization can be written as 31 × 107. 3317 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3317 is represented as 110011110101 in binary and CF5 in hexadecimal. Historically, it is written as MMMCCCXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (31 × 107) reveals 2 prime building blocks.
Divisible by 2
3317 ends in 7, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 17 are not divisible by 4.
Divisible by 5
3317 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 14 is not a multiple of 9.
Divisible by 10
3317 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 3317 within several notable number theory sequences:
Timeline
Deep dive
How 3317 breaks down
3317 carries 4 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 139, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110011110101 supports bitwise reasoning, hexadecimal CF5 aligns with computing notation, and the Roman numeral MMMCCCXVII keeps the encyclopedic tradition alive. These attributes make 3317 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3317 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3312–3322) to tune search ranges, and educators feature 3317 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 3317 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 3317
Is 3317 a prime number?
3317 is composite with 4 total factors and the prime factorization 31 × 107.
What is the prime factorization of 3317?
It breaks down as 31 × 107, multiplying the primes 31 × 107.
How is 3317 represented in binary and hexadecimal?
3317 converts to 110011110101 in binary and CF5 in hexadecimal, which are helpful for computer science applications.
Is 3317 a perfect square, cube, or triangular number?
3317 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3317?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.