8749
8749 is a odd composite number that follows 8748 and precedes 8750. It is composed of 4 distinct factors: 1, 13, 673, 8749. Its prime factorization can be written as 13 × 673. 8749 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8749 is represented as 10001000101101 in binary and 222D in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 673) reveals 2 prime building blocks.
Divisible by 2
8749 ends in 9, so it is odd.
Divisible by 3
The digit sum 28 is not a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
8749 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 28 is not a multiple of 9.
Divisible by 10
8749 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 8749 within several notable number theory sequences:
Timeline
Deep dive
How 8749 breaks down
8749 carries 4 distinct factors and a digit signature of 28 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 687, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001000101101 supports bitwise reasoning, hexadecimal 222D aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8749 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8749 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8744–8754) to tune search ranges, and educators feature 8749 in worksheets about factor trees. Its binary footprint of length 14 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 8749 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 8749
Is 8749 a prime number?
8749 is composite with 4 total factors and the prime factorization 13 × 673.
What is the prime factorization of 8749?
It breaks down as 13 × 673, multiplying the primes 13 × 673.
How is 8749 represented in binary and hexadecimal?
8749 converts to 10001000101101 in binary and 222D in hexadecimal, which are helpful for computer science applications.
Is 8749 a perfect square, cube, or triangular number?
8749 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8749?
The digits sum to 28, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.