8211
8211 is a odd composite number that follows 8210 and precedes 8212. It is composed of 16 distinct factors: 1, 3, 7, 17, 21, 23, 51, 69, 119, 161, 357, 391, 483, 1173, 2737, 8211. Its prime factorization can be written as 3 × 7 × 17 × 23. 8211 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8211 is represented as 10000000010011 in binary and 2013 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (3 × 7 × 17 × 23) reveals 4 prime building blocks.
Divisible by 2
8211 ends in 1, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 11 are not divisible by 4.
Divisible by 5
8211 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 12 is not a multiple of 9.
Divisible by 10
8211 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 8211 within several notable number theory sequences:
Timeline
Deep dive
How 8211 breaks down
8211 carries 16 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 5613, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000000010011 supports bitwise reasoning, hexadecimal 2013 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8211 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8211 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8206–8216) to tune search ranges, and educators feature 8211 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 8211 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 8211
Is 8211 a prime number?
8211 is composite with 16 total factors and the prime factorization 3 × 7 × 17 × 23.
What is the prime factorization of 8211?
It breaks down as 3 × 7 × 17 × 23, multiplying the primes 3 × 7 × 17 × 23.
How is 8211 represented in binary and hexadecimal?
8211 converts to 10000000010011 in binary and 2013 in hexadecimal, which are helpful for computer science applications.
Is 8211 a perfect square, cube, or triangular number?
8211 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8211?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.