3359
3359 is a odd prime number that follows 3358 and precedes 3360. As a prime number, 3359 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3359. 3359 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3359 is represented as 110100011111 in binary and D1F in hexadecimal. Historically, it is written as MMMCCCLIX in Roman numerals.
Factor Analysis
2 FactorsProperties
3359 is prime, so its only factors are 1 and 3359.
Divisible by 2
3359 ends in 9, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 59 are not divisible by 4.
Divisible by 5
3359 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
3359 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 3359 within several notable number theory sequences:
Timeline
Deep dive
How 3359 breaks down
3359 carries 2 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100011111 supports bitwise reasoning, hexadecimal D1F aligns with computing notation, and the Roman numeral MMMCCCLIX keeps the encyclopedic tradition alive. These attributes make 3359 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3359 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3354–3364) to tune search ranges, and educators feature 3359 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 3359 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 3359
Is 3359 a prime number?
3359 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3359?
3359 is already prime, so the factorization is simply 3359.
How is 3359 represented in binary and hexadecimal?
3359 converts to 110100011111 in binary and D1F in hexadecimal, which are helpful for computer science applications.
Is 3359 a perfect square, cube, or triangular number?
3359 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3359?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.