2679
2679 is a odd composite number that follows 2678 and precedes 2680. It is composed of 8 distinct factors: 1, 3, 19, 47, 57, 141, 893, 2679. Its prime factorization can be written as 3 × 19 × 47. 2679 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2679 is represented as 101001110111 in binary and A77 in hexadecimal. Historically, it is written as MMDCLXXIX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 19 × 47) reveals 3 prime building blocks.
Divisible by 2
2679 ends in 9, so it is odd.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 79 are not divisible by 4.
Divisible by 5
2679 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 24 is not a multiple of 9.
Divisible by 10
2679 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 2679 within several notable number theory sequences:
Timeline
Deep dive
How 2679 breaks down
2679 carries 8 distinct factors and a digit signature of 24 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 1161, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101001110111 supports bitwise reasoning, hexadecimal A77 aligns with computing notation, and the Roman numeral MMDCLXXIX keeps the encyclopedic tradition alive. These attributes make 2679 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2679 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2674–2684) to tune search ranges, and educators feature 2679 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 2679 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 2679
Is 2679 a prime number?
2679 is composite with 8 total factors and the prime factorization 3 × 19 × 47.
What is the prime factorization of 2679?
It breaks down as 3 × 19 × 47, multiplying the primes 3 × 19 × 47.
How is 2679 represented in binary and hexadecimal?
2679 converts to 101001110111 in binary and A77 in hexadecimal, which are helpful for computer science applications.
Is 2679 a perfect square, cube, or triangular number?
2679 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2679?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.