8673
8673 is a odd composite number that follows 8672 and precedes 8674. It is composed of 12 distinct factors: 1, 3, 7, 21, 49, 59, 147, 177, 413, 1239, 2891, 8673. Its prime factorization can be written as 3 × 7^2 × 59. 8673 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8673 is represented as 10000111100001 in binary and 21E1 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (3 × 7^2 × 59) reveals 4 prime building blocks.
Divisible by 2
8673 ends in 3, so it is odd.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 73 are not divisible by 4.
Divisible by 5
8673 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 24 is not a multiple of 9.
Divisible by 10
8673 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 8673 within several notable number theory sequences:
Timeline
Deep dive
How 8673 breaks down
8673 carries 12 distinct factors and a digit signature of 24 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 5007, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000111100001 supports bitwise reasoning, hexadecimal 21E1 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8673 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8673 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8668–8678) to tune search ranges, and educators feature 8673 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 8673 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 8673
Is 8673 a prime number?
8673 is composite with 12 total factors and the prime factorization 3 × 7^2 × 59.
What is the prime factorization of 8673?
It breaks down as 3 × 7^2 × 59, multiplying the primes 3 × 7 × 7 × 59.
How is 8673 represented in binary and hexadecimal?
8673 converts to 10000111100001 in binary and 21E1 in hexadecimal, which are helpful for computer science applications.
Is 8673 a perfect square, cube, or triangular number?
8673 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8673?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.