3347
3347 is a odd prime number that follows 3346 and precedes 3348. As a prime number, 3347 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3347. 3347 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3347 is represented as 110100010011 in binary and D13 in hexadecimal. Historically, it is written as MMMCCCXLVII in Roman numerals.
Factor Analysis
2 FactorsProperties
3347 is prime, so its only factors are 1 and 3347.
Divisible by 2
3347 ends in 7, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 47 are not divisible by 4.
Divisible by 5
3347 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 17 is not a multiple of 9.
Divisible by 10
3347 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 3347 within several notable number theory sequences:
Timeline
Deep dive
How 3347 breaks down
3347 carries 2 distinct factors and a digit signature of 17 (8 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 110100010011 supports bitwise reasoning, hexadecimal D13 aligns with computing notation, and the Roman numeral MMMCCCXLVII keeps the encyclopedic tradition alive. These attributes make 3347 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3347 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3342–3352) to tune search ranges, and educators feature 3347 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 3347 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 3347
Is 3347 a prime number?
3347 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3347?
3347 is already prime, so the factorization is simply 3347.
How is 3347 represented in binary and hexadecimal?
3347 converts to 110100010011 in binary and D13 in hexadecimal, which are helpful for computer science applications.
Is 3347 a perfect square, cube, or triangular number?
3347 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3347?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.