347
347 is a odd prime number that follows 346 and precedes 348. As a prime number, 347 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 347. 347 is classified as a deficient number based on the sum of its proper divisors. In computer science, 347 is represented as 101011011 in binary and 15B in hexadecimal. Historically, it is written as CCCXLVII in Roman numerals.
Factor Analysis
2 FactorsProperties
347 is prime, so its only factors are 1 and 347.
Divisible by 2
347 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 47 are not divisible by 4.
Divisible by 5
347 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
347 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 347 within several notable number theory sequences:
Timeline
Deep dive
How 347 breaks down
347 carries 2 distinct factors and a digit signature of 14 (5 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 101011011 supports bitwise reasoning, hexadecimal 15B aligns with computing notation, and the Roman numeral CCCXLVII keeps the encyclopedic tradition alive. These attributes make 347 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 347 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (342–352) to tune search ranges, and educators feature 347 in worksheets about prime identification. Its binary footprint of length 9 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 347 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 347
Is 347 a prime number?
347 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 347?
347 is already prime, so the factorization is simply 347.
How is 347 represented in binary and hexadecimal?
347 converts to 101011011 in binary and 15B in hexadecimal, which are helpful for computer science applications.
Is 347 a perfect square, cube, or triangular number?
347 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 347?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.