2388
2388 is a even composite number that follows 2387 and precedes 2389. It is composed of 12 distinct factors: 1, 2, 3, 4, 6, 12, 199, 398, 597, 796, 1194, 2388. Its prime factorization can be written as 2^2 × 3 × 199. 2388 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2388 is represented as 100101010100 in binary and 954 in hexadecimal. Historically, it is written as MMCCCLXXXVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 3 × 199) reveals 4 prime building blocks.
Divisible by 2
2388 ends in 8, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
2388 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 21 is not a multiple of 9.
Divisible by 10
2388 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Abundant classification and digit analytics place 2388 within several notable number theory sequences:
Timeline
Deep dive
How 2388 breaks down
2388 carries 12 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 3212, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100101010100 supports bitwise reasoning, hexadecimal 954 aligns with computing notation, and the Roman numeral MMCCCLXXXVIII keeps the encyclopedic tradition alive. These attributes make 2388 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2388 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2383–2393) to tune search ranges, and educators feature 2388 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 2388 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 2388
Is 2388 a prime number?
2388 is composite with 12 total factors and the prime factorization 2^2 × 3 × 199.
What is the prime factorization of 2388?
It breaks down as 2^2 × 3 × 199, multiplying the primes 2 × 2 × 3 × 199.
How is 2388 represented in binary and hexadecimal?
2388 converts to 100101010100 in binary and 954 in hexadecimal, which are helpful for computer science applications.
Is 2388 a perfect square, cube, or triangular number?
2388 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2388?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.