8802
8802 is a even composite number that follows 8801 and precedes 8803. It is composed of 16 distinct factors: 1, 2, 3, 6, 9, 18, 27, 54, 163, 326, 489, 978, 1467, 2934, 4401, 8802. Its prime factorization can be written as 2 × 3^3 × 163. 8802 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8802 is represented as 10001001100010 in binary and 2262 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3^3 × 163) reveals 5 prime building blocks.
Divisible by 2
8802 ends in 2, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 02 are not divisible by 4.
Divisible by 5
8802 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 18 is a multiple of 9.
Divisible by 10
8802 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Abundant classification and digit analytics place 8802 within several notable number theory sequences:
Timeline
Deep dive
How 8802 breaks down
8802 carries 16 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 10878, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001001100010 supports bitwise reasoning, hexadecimal 2262 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8802 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8802 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8797–8807) to tune search ranges, and educators feature 8802 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, Abundant numbers) help historians, numerologists, and trivia writers tie 8802 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 8802
Is 8802 a prime number?
8802 is composite with 16 total factors and the prime factorization 2 × 3^3 × 163.
What is the prime factorization of 8802?
It breaks down as 2 × 3^3 × 163, multiplying the primes 2 × 3 × 3 × 3 × 163.
How is 8802 represented in binary and hexadecimal?
8802 converts to 10001001100010 in binary and 2262 in hexadecimal, which are helpful for computer science applications.
Is 8802 a perfect square, cube, or triangular number?
8802 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8802?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.