8801
8801 is a odd composite number that follows 8800 and precedes 8802. It is composed of 4 distinct factors: 1, 13, 677, 8801. Its prime factorization can be written as 13 × 677. 8801 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8801 is represented as 10001001100001 in binary and 2261 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 677) reveals 2 prime building blocks.
Divisible by 2
8801 ends in 1, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
8801 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 17 is not a multiple of 9.
Divisible by 10
8801 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 8801 within several notable number theory sequences:
Timeline
Deep dive
How 8801 breaks down
8801 carries 4 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 691, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001001100001 supports bitwise reasoning, hexadecimal 2261 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8801 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8801 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8796–8806) to tune search ranges, and educators feature 8801 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 8801 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 8801
Is 8801 a prime number?
8801 is composite with 4 total factors and the prime factorization 13 × 677.
What is the prime factorization of 8801?
It breaks down as 13 × 677, multiplying the primes 13 × 677.
How is 8801 represented in binary and hexadecimal?
8801 converts to 10001001100001 in binary and 2261 in hexadecimal, which are helpful for computer science applications.
Is 8801 a perfect square, cube, or triangular number?
8801 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8801?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.