379
379 is a odd prime number that follows 378 and precedes 380. As a prime number, 379 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 379. 379 is classified as a deficient number based on the sum of its proper divisors. In computer science, 379 is represented as 101111011 in binary and 17B in hexadecimal. Historically, it is written as CCCLXXIX in Roman numerals.
Factor Analysis
2 FactorsProperties
379 is prime, so its only factors are 1 and 379.
Divisible by 2
379 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 79 are not divisible by 4.
Divisible by 5
379 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
379 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 379 within several notable number theory sequences:
Timeline
Deep dive
How 379 breaks down
379 carries 2 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101111011 supports bitwise reasoning, hexadecimal 17B aligns with computing notation, and the Roman numeral CCCLXXIX keeps the encyclopedic tradition alive. These attributes make 379 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 379 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (374–384) to tune search ranges, and educators feature 379 in worksheets about prime identification. Its binary footprint of length 9 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 379 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 379
Is 379 a prime number?
379 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 379?
379 is already prime, so the factorization is simply 379.
How is 379 represented in binary and hexadecimal?
379 converts to 101111011 in binary and 17B in hexadecimal, which are helpful for computer science applications.
Is 379 a perfect square, cube, or triangular number?
379 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 379?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.