2368
2368 is a even composite number that follows 2367 and precedes 2369. It is composed of 14 distinct factors: 1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 2368. Its prime factorization can be written as 2^6 × 37. 2368 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2368 is represented as 100101000000 in binary and 940 in hexadecimal. Historically, it is written as MMCCCLXVIII in Roman numerals.
Factor Analysis
14 FactorsProperties
The prime factorization (2^6 × 37) reveals 7 prime building blocks.
Divisible by 2
2368 ends in 8, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 68 form a multiple of 4.
Divisible by 5
2368 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 19 is not a multiple of 9.
Divisible by 10
2368 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Abundant classification and digit analytics place 2368 within several notable number theory sequences:
Timeline
Deep dive
How 2368 breaks down
2368 carries 14 distinct factors and a digit signature of 19 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 2458, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100101000000 supports bitwise reasoning, hexadecimal 940 aligns with computing notation, and the Roman numeral MMCCCLXVIII keeps the encyclopedic tradition alive. These attributes make 2368 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2368 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2363–2373) to tune search ranges, and educators feature 2368 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 2368 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 2368
Is 2368 a prime number?
2368 is composite with 14 total factors and the prime factorization 2^6 × 37.
What is the prime factorization of 2368?
It breaks down as 2^6 × 37, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 37.
How is 2368 represented in binary and hexadecimal?
2368 converts to 100101000000 in binary and 940 in hexadecimal, which are helpful for computer science applications.
Is 2368 a perfect square, cube, or triangular number?
2368 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2368?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.