2488
2488 is a even composite number that follows 2487 and precedes 2489. It is composed of 8 distinct factors: 1, 2, 4, 8, 311, 622, 1244, 2488. Its prime factorization can be written as 2^3 × 311. 2488 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2488 is represented as 100110111000 in binary and 9B8 in hexadecimal. Historically, it is written as MMCDLXXXVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 311) reveals 4 prime building blocks.
Divisible by 2
2488 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
2488 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
2488 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 2488 within several notable number theory sequences:
Timeline
Deep dive
How 2488 breaks down
2488 carries 8 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 2192, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100110111000 supports bitwise reasoning, hexadecimal 9B8 aligns with computing notation, and the Roman numeral MMCDLXXXVIII keeps the encyclopedic tradition alive. These attributes make 2488 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2488 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2483–2493) to tune search ranges, and educators feature 2488 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 2488 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 2488
Is 2488 a prime number?
2488 is composite with 8 total factors and the prime factorization 2^3 × 311.
What is the prime factorization of 2488?
It breaks down as 2^3 × 311, multiplying the primes 2 × 2 × 2 × 311.
How is 2488 represented in binary and hexadecimal?
2488 converts to 100110111000 in binary and 9B8 in hexadecimal, which are helpful for computer science applications.
Is 2488 a perfect square, cube, or triangular number?
2488 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2488?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.