8201
8201 is a odd composite number that follows 8200 and precedes 8202. It is composed of 4 distinct factors: 1, 59, 139, 8201. Its prime factorization can be written as 59 × 139. 8201 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8201 is represented as 10000000001001 in binary and 2009 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (59 × 139) reveals 2 prime building blocks.
Divisible by 2
8201 ends in 1, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
8201 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 11 is not a multiple of 9.
Divisible by 10
8201 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 8201 within several notable number theory sequences:
Timeline
Deep dive
How 8201 breaks down
8201 carries 4 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 199, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000000001001 supports bitwise reasoning, hexadecimal 2009 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8201 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8201 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8196–8206) to tune search ranges, and educators feature 8201 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 8201 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 8201
Is 8201 a prime number?
8201 is composite with 4 total factors and the prime factorization 59 × 139.
What is the prime factorization of 8201?
It breaks down as 59 × 139, multiplying the primes 59 × 139.
How is 8201 represented in binary and hexadecimal?
8201 converts to 10000000001001 in binary and 2009 in hexadecimal, which are helpful for computer science applications.
Is 8201 a perfect square, cube, or triangular number?
8201 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8201?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.