3679
3679 is a odd composite number that follows 3678 and precedes 3680. It is composed of 4 distinct factors: 1, 13, 283, 3679. Its prime factorization can be written as 13 × 283. 3679 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3679 is represented as 111001011111 in binary and E5F in hexadecimal. Historically, it is written as MMMDCLXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 283) reveals 2 prime building blocks.
Divisible by 2
3679 ends in 9, so it is odd.
Divisible by 3
The digit sum 25 is not a multiple of 3.
Divisible by 4
The last two digits 79 are not divisible by 4.
Divisible by 5
3679 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 25 is not a multiple of 9.
Divisible by 10
3679 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 3679 within several notable number theory sequences:
Timeline
Deep dive
How 3679 breaks down
3679 carries 4 distinct factors and a digit signature of 25 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 297, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111001011111 supports bitwise reasoning, hexadecimal E5F aligns with computing notation, and the Roman numeral MMMDCLXXIX keeps the encyclopedic tradition alive. These attributes make 3679 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3679 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3674–3684) to tune search ranges, and educators feature 3679 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 3679 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 3679
Is 3679 a prime number?
3679 is composite with 4 total factors and the prime factorization 13 × 283.
What is the prime factorization of 3679?
It breaks down as 13 × 283, multiplying the primes 13 × 283.
How is 3679 represented in binary and hexadecimal?
3679 converts to 111001011111 in binary and E5F in hexadecimal, which are helpful for computer science applications.
Is 3679 a perfect square, cube, or triangular number?
3679 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3679?
The digits sum to 25, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.