8993
8993 is a odd composite number that follows 8992 and precedes 8994. It is composed of 6 distinct factors: 1, 17, 23, 391, 529, 8993. Its prime factorization can be written as 17 × 23^2. 8993 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8993 is represented as 10001100100001 in binary and 2321 in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (17 × 23^2) reveals 3 prime building blocks.
Divisible by 2
8993 ends in 3, so it is odd.
Divisible by 3
The digit sum 29 is not a multiple of 3.
Divisible by 4
The last two digits 93 are not divisible by 4.
Divisible by 5
8993 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 29 is not a multiple of 9.
Divisible by 10
8993 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 8993 within several notable number theory sequences:
Timeline
Deep dive
How 8993 breaks down
8993 carries 6 distinct factors and a digit signature of 29 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 961, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001100100001 supports bitwise reasoning, hexadecimal 2321 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8993 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8993 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8988–8998) to tune search ranges, and educators feature 8993 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 8993 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 8993
Is 8993 a prime number?
8993 is composite with 6 total factors and the prime factorization 17 × 23^2.
What is the prime factorization of 8993?
It breaks down as 17 × 23^2, multiplying the primes 17 × 23 × 23.
How is 8993 represented in binary and hexadecimal?
8993 converts to 10001100100001 in binary and 2321 in hexadecimal, which are helpful for computer science applications.
Is 8993 a perfect square, cube, or triangular number?
8993 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8993?
The digits sum to 29, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.