8883
8883 is a odd composite number that follows 8882 and precedes 8884. It is composed of 16 distinct factors: 1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883. Its prime factorization can be written as 3^3 × 7 × 47. 8883 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8883 is represented as 10001010110011 in binary and 22B3 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (3^3 × 7 × 47) reveals 5 prime building blocks.
Divisible by 2
8883 ends in 3, so it is odd.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 83 are not divisible by 4.
Divisible by 5
8883 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 27 is a multiple of 9.
Divisible by 10
8883 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 8883 within several notable number theory sequences:
Timeline
Deep dive
How 8883 breaks down
8883 carries 16 distinct factors and a digit signature of 27 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 6477, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001010110011 supports bitwise reasoning, hexadecimal 22B3 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8883 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8883 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8878–8888) to tune search ranges, and educators feature 8883 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 8883 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 8883
Is 8883 a prime number?
8883 is composite with 16 total factors and the prime factorization 3^3 × 7 × 47.
What is the prime factorization of 8883?
It breaks down as 3^3 × 7 × 47, multiplying the primes 3 × 3 × 3 × 7 × 47.
How is 8883 represented in binary and hexadecimal?
8883 converts to 10001010110011 in binary and 22B3 in hexadecimal, which are helpful for computer science applications.
Is 8883 a perfect square, cube, or triangular number?
8883 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8883?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.