5679
5679 is a odd composite number that follows 5678 and precedes 5680. It is composed of 6 distinct factors: 1, 3, 9, 631, 1893, 5679. Its prime factorization can be written as 3^2 × 631. 5679 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5679 is represented as 1011000101111 in binary and 162F in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 631) reveals 3 prime building blocks.
Divisible by 2
5679 ends in 9, so it is odd.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 79 are not divisible by 4.
Divisible by 5
5679 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 27 is a multiple of 9.
Divisible by 10
5679 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 5679 within several notable number theory sequences:
Timeline
Deep dive
How 5679 breaks down
5679 carries 6 distinct factors and a digit signature of 27 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 2537, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011000101111 supports bitwise reasoning, hexadecimal 162F aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5679 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5679 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5674–5684) to tune search ranges, and educators feature 5679 in worksheets about factor trees. Its binary footprint of length 13 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 5679 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 5679
Is 5679 a prime number?
5679 is composite with 6 total factors and the prime factorization 3^2 × 631.
What is the prime factorization of 5679?
It breaks down as 3^2 × 631, multiplying the primes 3 × 3 × 631.
How is 5679 represented in binary and hexadecimal?
5679 converts to 1011000101111 in binary and 162F in hexadecimal, which are helpful for computer science applications.
Is 5679 a perfect square, cube, or triangular number?
5679 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5679?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.