37349
37349 is a odd composite number that follows 37348 and precedes 37350. It is composed of 8 distinct factors: 1, 13, 17, 169, 221, 2197, 2873, 37349. Its prime factorization can be written as 13^3 × 17. 37349 is classified as a deficient number based on the sum of its proper divisors. In computer science, 37349 is represented as 1001000111100101 in binary and 91E5 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (13^3 × 17) reveals 4 prime building blocks.
Divisible by 2
37349 ends in 9, so it is odd.
Divisible by 3
The digit sum 26 is not a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
37349 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 26 is not a multiple of 9.
Divisible by 10
37349 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 37349 within several notable number theory sequences:
Timeline
Deep dive
How 37349 breaks down
37349 carries 8 distinct factors and a digit signature of 26 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 5491, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001000111100101 supports bitwise reasoning, hexadecimal 91E5 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 37349 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 37349 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (37344–37354) to tune search ranges, and educators feature 37349 in worksheets about factor trees. Its binary footprint of length 16 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 37349 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 37349
Is 37349 a prime number?
37349 is composite with 8 total factors and the prime factorization 13^3 × 17.
What is the prime factorization of 37349?
It breaks down as 13^3 × 17, multiplying the primes 13 × 13 × 13 × 17.
How is 37349 represented in binary and hexadecimal?
37349 converts to 1001000111100101 in binary and 91E5 in hexadecimal, which are helpful for computer science applications.
Is 37349 a perfect square, cube, or triangular number?
37349 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 37349?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.