4288
4288 is a even composite number that follows 4287 and precedes 4289. It is composed of 14 distinct factors: 1, 2, 4, 8, 16, 32, 64, 67, 134, 268, 536, 1072, 2144, 4288. Its prime factorization can be written as 2^6 × 67. 4288 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4288 is represented as 1000011000000 in binary and 10C0 in hexadecimal.
Factor Analysis
14 FactorsProperties
The prime factorization (2^6 × 67) reveals 7 prime building blocks.
Divisible by 2
4288 ends in 8, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
4288 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 22 is not a multiple of 9.
Divisible by 10
4288 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 4288 within several notable number theory sequences:
Timeline
Deep dive
How 4288 breaks down
4288 carries 14 distinct factors and a digit signature of 22 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 4348, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000011000000 supports bitwise reasoning, hexadecimal 10C0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4288 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4288 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4283–4293) to tune search ranges, and educators feature 4288 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, Abundant numbers) help historians, numerologists, and trivia writers tie 4288 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 4288
Is 4288 a prime number?
4288 is composite with 14 total factors and the prime factorization 2^6 × 67.
What is the prime factorization of 4288?
It breaks down as 2^6 × 67, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 67.
How is 4288 represented in binary and hexadecimal?
4288 converts to 1000011000000 in binary and 10C0 in hexadecimal, which are helpful for computer science applications.
Is 4288 a perfect square, cube, or triangular number?
4288 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4288?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.