279
279 is a odd composite number that follows 278 and precedes 280. It is composed of 6 distinct factors: 1, 3, 9, 31, 93, 279. Its prime factorization can be written as 3^2 × 31. 279 is classified as a deficient number based on the sum of its proper divisors. In computer science, 279 is represented as 100010111 in binary and 117 in hexadecimal. Historically, it is written as CCLXXIX in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 31) reveals 3 prime building blocks.
Divisible by 2
279 ends in 9, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 79 are not divisible by 4.
Divisible by 5
279 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 18 is a multiple of 9.
Divisible by 10
279 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 279 within several notable number theory sequences:
Timeline
Deep dive
How 279 breaks down
279 carries 6 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 137, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100010111 supports bitwise reasoning, hexadecimal 117 aligns with computing notation, and the Roman numeral CCLXXIX keeps the encyclopedic tradition alive. These attributes make 279 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 279 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (274–284) to tune search ranges, and educators feature 279 in worksheets about factor trees. 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 (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 279 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 279
Is 279 a prime number?
279 is composite with 6 total factors and the prime factorization 3^2 × 31.
What is the prime factorization of 279?
It breaks down as 3^2 × 31, multiplying the primes 3 × 3 × 31.
How is 279 represented in binary and hexadecimal?
279 converts to 100010111 in binary and 117 in hexadecimal, which are helpful for computer science applications.
Is 279 a perfect square, cube, or triangular number?
279 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 279?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.