8134
8134 is a even composite number that follows 8133 and precedes 8135. It is composed of 12 distinct factors: 1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134. Its prime factorization can be written as 2 × 7^2 × 83. 8134 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8134 is represented as 1111111000110 in binary and 1FC6 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 7^2 × 83) reveals 4 prime building blocks.
Divisible by 2
8134 ends in 4, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 34 are not divisible by 4.
Divisible by 5
8134 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
8134 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 8134 within several notable number theory sequences:
Timeline
Deep dive
How 8134 breaks down
8134 carries 12 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 6230, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111111000110 supports bitwise reasoning, hexadecimal 1FC6 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8134 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8134 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8129–8139) to tune search ranges, and educators feature 8134 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 8134 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 8134
Is 8134 a prime number?
8134 is composite with 12 total factors and the prime factorization 2 × 7^2 × 83.
What is the prime factorization of 8134?
It breaks down as 2 × 7^2 × 83, multiplying the primes 2 × 7 × 7 × 83.
How is 8134 represented in binary and hexadecimal?
8134 converts to 1111111000110 in binary and 1FC6 in hexadecimal, which are helpful for computer science applications.
Is 8134 a perfect square, cube, or triangular number?
8134 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8134?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.