4088
4088 is a even composite number that follows 4087 and precedes 4089. It is composed of 16 distinct factors: 1, 2, 4, 7, 8, 14, 28, 56, 73, 146, 292, 511, 584, 1022, 2044, 4088. Its prime factorization can be written as 2^3 × 7 × 73. 4088 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4088 is represented as 111111111000 in binary and FF8 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 7 × 73) reveals 5 prime building blocks.
Divisible by 2
4088 ends in 8, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
4088 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 20 is not a multiple of 9.
Divisible by 10
4088 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 4088 within several notable number theory sequences:
Timeline
Deep dive
How 4088 breaks down
4088 carries 16 distinct factors and a digit signature of 20 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 4792, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111111111000 supports bitwise reasoning, hexadecimal FF8 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4088 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4088 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4083–4093) to tune search ranges, and educators feature 4088 in worksheets about factor trees. Its binary footprint of length 12 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 4088 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 4088
Is 4088 a prime number?
4088 is composite with 16 total factors and the prime factorization 2^3 × 7 × 73.
What is the prime factorization of 4088?
It breaks down as 2^3 × 7 × 73, multiplying the primes 2 × 2 × 2 × 7 × 73.
How is 4088 represented in binary and hexadecimal?
4088 converts to 111111111000 in binary and FF8 in hexadecimal, which are helpful for computer science applications.
Is 4088 a perfect square, cube, or triangular number?
4088 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4088?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.