8427
8427 is a odd composite number that follows 8426 and precedes 8428. It is composed of 6 distinct factors: 1, 3, 53, 159, 2809, 8427. Its prime factorization can be written as 3 × 53^2. 8427 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8427 is represented as 10000011101011 in binary and 20EB in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (3 × 53^2) reveals 3 prime building blocks.
Divisible by 2
8427 ends in 7, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 27 are not divisible by 4.
Divisible by 5
8427 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 21 is not a multiple of 9.
Divisible by 10
8427 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 8427 within several notable number theory sequences:
Timeline
Deep dive
How 8427 breaks down
8427 carries 6 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 3025, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000011101011 supports bitwise reasoning, hexadecimal 20EB aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8427 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8427 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8422–8432) to tune search ranges, and educators feature 8427 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 8427 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 8427
Is 8427 a prime number?
8427 is composite with 6 total factors and the prime factorization 3 × 53^2.
What is the prime factorization of 8427?
It breaks down as 3 × 53^2, multiplying the primes 3 × 53 × 53.
How is 8427 represented in binary and hexadecimal?
8427 converts to 10000011101011 in binary and 20EB in hexadecimal, which are helpful for computer science applications.
Is 8427 a perfect square, cube, or triangular number?
8427 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8427?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.