8128
8128 is a even composite number that follows 8127 and precedes 8129. It is composed of 14 distinct factors: 1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064, 8128. Its prime factorization can be written as 2^6 × 127. 8128 is classified as a perfect number based on the sum of its proper divisors. In computer science, 8128 is represented as 1111111000000 in binary and 1FC0 in hexadecimal. It also belongs to the triangular number sequence.
Factor Analysis
14 FactorsProperties
The prime factorization (2^6 × 127) reveals 7 prime building blocks.
Divisible by 2
8128 ends in 8, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 28 form a multiple of 4.
Divisible by 5
8128 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 19 is not a multiple of 9.
Divisible by 10
8128 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Perfect classification and digit analytics place 8128 within several notable number theory sequences:
Timeline
Deep dive
How 8128 breaks down
8128 carries 14 distinct factors and a digit signature of 19 (1 as the digital root). The perfect classification indicates that its proper divisors sum to the number itself, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111111000000 supports bitwise reasoning, hexadecimal 1FC0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8128 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8128 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8123–8133) to tune search ranges, and educators feature 8128 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, Perfect numbers, Triangular numbers) help historians, numerologists, and trivia writers tie 8128 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 8128
Is 8128 a prime number?
8128 is composite with 14 total factors and the prime factorization 2^6 × 127.
What is the prime factorization of 8128?
It breaks down as 2^6 × 127, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 127.
How is 8128 represented in binary and hexadecimal?
8128 converts to 1111111000000 in binary and 1FC0 in hexadecimal, which are helpful for computer science applications.
Is 8128 a perfect square, cube, or triangular number?
8128 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 8128?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.