8021
8021 is a odd composite number that follows 8020 and precedes 8022. It is composed of 4 distinct factors: 1, 13, 617, 8021. Its prime factorization can be written as 13 × 617. 8021 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8021 is represented as 1111101010101 in binary and 1F55 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 617) reveals 2 prime building blocks.
Divisible by 2
8021 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 21 are not divisible by 4.
Divisible by 5
8021 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
8021 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 8021 within several notable number theory sequences:
Timeline
Deep dive
How 8021 breaks down
8021 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 631, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111101010101 supports bitwise reasoning, hexadecimal 1F55 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8021 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8021 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8016–8026) to tune search ranges, and educators feature 8021 in worksheets about factor trees. Its binary footprint of length 13 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 8021 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 8021
Is 8021 a prime number?
8021 is composite with 4 total factors and the prime factorization 13 × 617.
What is the prime factorization of 8021?
It breaks down as 13 × 617, multiplying the primes 13 × 617.
How is 8021 represented in binary and hexadecimal?
8021 converts to 1111101010101 in binary and 1F55 in hexadecimal, which are helpful for computer science applications.
Is 8021 a perfect square, cube, or triangular number?
8021 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8021?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.