8216
8216 is a even composite number that follows 8215 and precedes 8217. It is composed of 16 distinct factors: 1, 2, 4, 8, 13, 26, 52, 79, 104, 158, 316, 632, 1027, 2054, 4108, 8216. Its prime factorization can be written as 2^3 × 13 × 79. 8216 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8216 is represented as 10000000011000 in binary and 2018 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 13 × 79) reveals 5 prime building blocks.
Divisible by 2
8216 ends in 6, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 16 form a multiple of 4.
Divisible by 5
8216 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
8216 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 8216 within several notable number theory sequences:
Timeline
Deep dive
How 8216 breaks down
8216 carries 16 distinct factors and a digit signature of 17 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 8584, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000000011000 supports bitwise reasoning, hexadecimal 2018 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8216 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8216 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8211–8221) to tune search ranges, and educators feature 8216 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 8216 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 8216
Is 8216 a prime number?
8216 is composite with 16 total factors and the prime factorization 2^3 × 13 × 79.
What is the prime factorization of 8216?
It breaks down as 2^3 × 13 × 79, multiplying the primes 2 × 2 × 2 × 13 × 79.
How is 8216 represented in binary and hexadecimal?
8216 converts to 10000000011000 in binary and 2018 in hexadecimal, which are helpful for computer science applications.
Is 8216 a perfect square, cube, or triangular number?
8216 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8216?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.