2359
2359 is a odd composite number that follows 2358 and precedes 2360. It is composed of 4 distinct factors: 1, 7, 337, 2359. Its prime factorization can be written as 7 × 337. 2359 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2359 is represented as 100100110111 in binary and 937 in hexadecimal. Historically, it is written as MMCCCLIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (7 × 337) reveals 2 prime building blocks.
Divisible by 2
2359 ends in 9, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 59 are not divisible by 4.
Divisible by 5
2359 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
2359 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 2359 within several notable number theory sequences:
Timeline
Deep dive
How 2359 breaks down
2359 carries 4 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 345, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100100110111 supports bitwise reasoning, hexadecimal 937 aligns with computing notation, and the Roman numeral MMCCCLIX keeps the encyclopedic tradition alive. These attributes make 2359 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2359 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2354–2364) to tune search ranges, and educators feature 2359 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 2359 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 2359
Is 2359 a prime number?
2359 is composite with 4 total factors and the prime factorization 7 × 337.
What is the prime factorization of 2359?
It breaks down as 7 × 337, multiplying the primes 7 × 337.
How is 2359 represented in binary and hexadecimal?
2359 converts to 100100110111 in binary and 937 in hexadecimal, which are helpful for computer science applications.
Is 2359 a perfect square, cube, or triangular number?
2359 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2359?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.