2379
2379 is a odd composite number that follows 2378 and precedes 2380. It is composed of 8 distinct factors: 1, 3, 13, 39, 61, 183, 793, 2379. Its prime factorization can be written as 3 × 13 × 61. 2379 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2379 is represented as 100101001011 in binary and 94B in hexadecimal. Historically, it is written as MMCCCLXXIX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 13 × 61) reveals 3 prime building blocks.
Divisible by 2
2379 ends in 9, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 79 are not divisible by 4.
Divisible by 5
2379 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 21 is not a multiple of 9.
Divisible by 10
2379 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 2379 within several notable number theory sequences:
Timeline
Deep dive
How 2379 breaks down
2379 carries 8 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 1093, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100101001011 supports bitwise reasoning, hexadecimal 94B aligns with computing notation, and the Roman numeral MMCCCLXXIX keeps the encyclopedic tradition alive. These attributes make 2379 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2379 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2374–2384) to tune search ranges, and educators feature 2379 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 2379 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 2379
Is 2379 a prime number?
2379 is composite with 8 total factors and the prime factorization 3 × 13 × 61.
What is the prime factorization of 2379?
It breaks down as 3 × 13 × 61, multiplying the primes 3 × 13 × 61.
How is 2379 represented in binary and hexadecimal?
2379 converts to 100101001011 in binary and 94B in hexadecimal, which are helpful for computer science applications.
Is 2379 a perfect square, cube, or triangular number?
2379 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2379?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.