7349
7349 is a odd prime number that follows 7348 and precedes 7350. As a prime number, 7349 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 7349. 7349 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7349 is represented as 1110010110101 in binary and 1CB5 in hexadecimal.
Factor Analysis
2 FactorsProperties
7349 is prime, so its only factors are 1 and 7349.
Divisible by 2
7349 ends in 9, so it is odd.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
7349 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 23 is not a multiple of 9.
Divisible by 10
7349 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 7349 within several notable number theory sequences:
Timeline
Deep dive
How 7349 breaks down
7349 carries 2 distinct factors and a digit signature of 23 (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 1110010110101 supports bitwise reasoning, hexadecimal 1CB5 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7349 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7349 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7344–7354) to tune search ranges, and educators feature 7349 in worksheets about prime identification. Its binary footprint of length 13 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 7349 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 7349
Is 7349 a prime number?
7349 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 7349?
7349 is already prime, so the factorization is simply 7349.
How is 7349 represented in binary and hexadecimal?
7349 converts to 1110010110101 in binary and 1CB5 in hexadecimal, which are helpful for computer science applications.
Is 7349 a perfect square, cube, or triangular number?
7349 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7349?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.