8701
8701 is a odd composite number that follows 8700 and precedes 8702. It is composed of 8 distinct factors: 1, 7, 11, 77, 113, 791, 1243, 8701. Its prime factorization can be written as 7 × 11 × 113. 8701 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8701 is represented as 10000111111101 in binary and 21FD in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (7 × 11 × 113) reveals 3 prime building blocks.
Divisible by 2
8701 ends in 1, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
8701 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 16 is not a multiple of 9.
Divisible by 10
8701 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 8701 within several notable number theory sequences:
Timeline
Deep dive
How 8701 breaks down
8701 carries 8 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 2243, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000111111101 supports bitwise reasoning, hexadecimal 21FD aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8701 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8701 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8696–8706) to tune search ranges, and educators feature 8701 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 8701 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 8701
Is 8701 a prime number?
8701 is composite with 8 total factors and the prime factorization 7 × 11 × 113.
What is the prime factorization of 8701?
It breaks down as 7 × 11 × 113, multiplying the primes 7 × 11 × 113.
How is 8701 represented in binary and hexadecimal?
8701 converts to 10000111111101 in binary and 21FD in hexadecimal, which are helpful for computer science applications.
Is 8701 a perfect square, cube, or triangular number?
8701 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8701?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.