8144
8144 is a even composite number that follows 8143 and precedes 8145. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144. Its prime factorization can be written as 2^4 × 509. 8144 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8144 is represented as 1111111010000 in binary and 1FD0 in hexadecimal.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 509) reveals 5 prime building blocks.
Divisible by 2
8144 ends in 4, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 44 form a multiple of 4.
Divisible by 5
8144 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 17 is not a multiple of 9.
Divisible by 10
8144 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 8144 within several notable number theory sequences:
Timeline
Deep dive
How 8144 breaks down
8144 carries 10 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 7666, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111111010000 supports bitwise reasoning, hexadecimal 1FD0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8144 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8144 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8139–8149) to tune search ranges, and educators feature 8144 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 8144 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 8144
Is 8144 a prime number?
8144 is composite with 10 total factors and the prime factorization 2^4 × 509.
What is the prime factorization of 8144?
It breaks down as 2^4 × 509, multiplying the primes 2 × 2 × 2 × 2 × 509.
How is 8144 represented in binary and hexadecimal?
8144 converts to 1111111010000 in binary and 1FD0 in hexadecimal, which are helpful for computer science applications.
Is 8144 a perfect square, cube, or triangular number?
8144 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8144?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.