3379
3379 is a odd composite number that follows 3378 and precedes 3380. It is composed of 4 distinct factors: 1, 31, 109, 3379. Its prime factorization can be written as 31 × 109. 3379 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3379 is represented as 110100110011 in binary and D33 in hexadecimal. Historically, it is written as MMMCCCLXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (31 × 109) reveals 2 prime building blocks.
Divisible by 2
3379 ends in 9, so it is odd.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 79 are not divisible by 4.
Divisible by 5
3379 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 22 is not a multiple of 9.
Divisible by 10
3379 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 3379 within several notable number theory sequences:
Timeline
Deep dive
How 3379 breaks down
3379 carries 4 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 141, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100110011 supports bitwise reasoning, hexadecimal D33 aligns with computing notation, and the Roman numeral MMMCCCLXXIX keeps the encyclopedic tradition alive. These attributes make 3379 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3379 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3374–3384) to tune search ranges, and educators feature 3379 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 3379 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 3379
Is 3379 a prime number?
3379 is composite with 4 total factors and the prime factorization 31 × 109.
What is the prime factorization of 3379?
It breaks down as 31 × 109, multiplying the primes 31 × 109.
How is 3379 represented in binary and hexadecimal?
3379 converts to 110100110011 in binary and D33 in hexadecimal, which are helpful for computer science applications.
Is 3379 a perfect square, cube, or triangular number?
3379 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3379?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.