3979
3979 is a odd composite number that follows 3978 and precedes 3980. It is composed of 4 distinct factors: 1, 23, 173, 3979. Its prime factorization can be written as 23 × 173. 3979 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3979 is represented as 111110001011 in binary and F8B in hexadecimal. Historically, it is written as MMMCMLXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (23 × 173) reveals 2 prime building blocks.
Divisible by 2
3979 ends in 9, so it is odd.
Divisible by 3
The digit sum 28 is not a multiple of 3.
Divisible by 4
The last two digits 79 are not divisible by 4.
Divisible by 5
3979 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 28 is not a multiple of 9.
Divisible by 10
3979 does not end in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Deficient classification and digit analytics place 3979 within several notable number theory sequences:
Timeline
Deep dive
How 3979 breaks down
3979 carries 4 distinct factors and a digit signature of 28 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 197, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111110001011 supports bitwise reasoning, hexadecimal F8B aligns with computing notation, and the Roman numeral MMMCMLXXIX keeps the encyclopedic tradition alive. These attributes make 3979 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3979 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3974–3984) to tune search ranges, and educators feature 3979 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 3979 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 3979
Is 3979 a prime number?
3979 is composite with 4 total factors and the prime factorization 23 × 173.
What is the prime factorization of 3979?
It breaks down as 23 × 173, multiplying the primes 23 × 173.
How is 3979 represented in binary and hexadecimal?
3979 converts to 111110001011 in binary and F8B in hexadecimal, which are helpful for computer science applications.
Is 3979 a perfect square, cube, or triangular number?
3979 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3979?
The digits sum to 28, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.