8026
8026 is a even composite number that follows 8025 and precedes 8027. It is composed of 4 distinct factors: 1, 2, 4013, 8026. Its prime factorization can be written as 2 × 4013. 8026 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8026 is represented as 1111101011010 in binary and 1F5A in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 4013) reveals 2 prime building blocks.
Divisible by 2
8026 ends in 6, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 26 are not divisible by 4.
Divisible by 5
8026 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
8026 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 8026 within several notable number theory sequences:
Timeline
Deep dive
How 8026 breaks down
8026 carries 4 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 4016, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111101011010 supports bitwise reasoning, hexadecimal 1F5A aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8026 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8026 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8021–8031) to tune search ranges, and educators feature 8026 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 8026 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 8026
Is 8026 a prime number?
8026 is composite with 4 total factors and the prime factorization 2 × 4013.
What is the prime factorization of 8026?
It breaks down as 2 × 4013, multiplying the primes 2 × 4013.
How is 8026 represented in binary and hexadecimal?
8026 converts to 1111101011010 in binary and 1F5A in hexadecimal, which are helpful for computer science applications.
Is 8026 a perfect square, cube, or triangular number?
8026 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8026?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.