2788
2788 is a even composite number that follows 2787 and precedes 2789. It is composed of 12 distinct factors: 1, 2, 4, 17, 34, 41, 68, 82, 164, 697, 1394, 2788. Its prime factorization can be written as 2^2 × 17 × 41. 2788 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2788 is represented as 101011100100 in binary and AE4 in hexadecimal. Historically, it is written as MMDCCLXXXVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 17 × 41) reveals 4 prime building blocks.
Divisible by 2
2788 ends in 8, so it is even.
Divisible by 3
The digit sum 25 is not a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
2788 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 25 is not a multiple of 9.
Divisible by 10
2788 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 2788 within several notable number theory sequences:
Timeline
Deep dive
How 2788 breaks down
2788 carries 12 distinct factors and a digit signature of 25 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 2504, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101011100100 supports bitwise reasoning, hexadecimal AE4 aligns with computing notation, and the Roman numeral MMDCCLXXXVIII keeps the encyclopedic tradition alive. These attributes make 2788 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2788 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2783–2793) to tune search ranges, and educators feature 2788 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 2788 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 2788
Is 2788 a prime number?
2788 is composite with 12 total factors and the prime factorization 2^2 × 17 × 41.
What is the prime factorization of 2788?
It breaks down as 2^2 × 17 × 41, multiplying the primes 2 × 2 × 17 × 41.
How is 2788 represented in binary and hexadecimal?
2788 converts to 101011100100 in binary and AE4 in hexadecimal, which are helpful for computer science applications.
Is 2788 a perfect square, cube, or triangular number?
2788 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2788?
The digits sum to 25, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.