2888
2888 is a even composite number that follows 2887 and precedes 2889. It is composed of 12 distinct factors: 1, 2, 4, 8, 19, 38, 76, 152, 361, 722, 1444, 2888. Its prime factorization can be written as 2^3 × 19^2. 2888 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2888 is represented as 101101001000 in binary and B48 in hexadecimal. Historically, it is written as MMDCCCLXXXVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^3 × 19^2) reveals 5 prime building blocks.
Divisible by 2
2888 ends in 8, so it is even.
Divisible by 3
The digit sum 26 is not a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
2888 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 26 is not a multiple of 9.
Divisible by 10
2888 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 2888 within several notable number theory sequences:
Timeline
Deep dive
How 2888 breaks down
2888 carries 12 distinct factors and a digit signature of 26 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 2827, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101101001000 supports bitwise reasoning, hexadecimal B48 aligns with computing notation, and the Roman numeral MMDCCCLXXXVIII keeps the encyclopedic tradition alive. These attributes make 2888 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2888 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2883–2893) to tune search ranges, and educators feature 2888 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, Deficient numbers) help historians, numerologists, and trivia writers tie 2888 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 2888
Is 2888 a prime number?
2888 is composite with 12 total factors and the prime factorization 2^3 × 19^2.
What is the prime factorization of 2888?
It breaks down as 2^3 × 19^2, multiplying the primes 2 × 2 × 2 × 19 × 19.
How is 2888 represented in binary and hexadecimal?
2888 converts to 101101001000 in binary and B48 in hexadecimal, which are helpful for computer science applications.
Is 2888 a perfect square, cube, or triangular number?
2888 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2888?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.