3219
3219 is a odd composite number that follows 3218 and precedes 3220. It is composed of 8 distinct factors: 1, 3, 29, 37, 87, 111, 1073, 3219. Its prime factorization can be written as 3 × 29 × 37. 3219 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3219 is represented as 110010010011 in binary and C93 in hexadecimal. Historically, it is written as MMMCCXIX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 29 × 37) reveals 3 prime building blocks.
Divisible by 2
3219 ends in 9, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 19 are not divisible by 4.
Divisible by 5
3219 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 15 is not a multiple of 9.
Divisible by 10
3219 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 3219 within several notable number theory sequences:
Timeline
Deep dive
How 3219 breaks down
3219 carries 8 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 1341, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110010010011 supports bitwise reasoning, hexadecimal C93 aligns with computing notation, and the Roman numeral MMMCCXIX keeps the encyclopedic tradition alive. These attributes make 3219 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3219 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3214–3224) to tune search ranges, and educators feature 3219 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 3219 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 3219
Is 3219 a prime number?
3219 is composite with 8 total factors and the prime factorization 3 × 29 × 37.
What is the prime factorization of 3219?
It breaks down as 3 × 29 × 37, multiplying the primes 3 × 29 × 37.
How is 3219 represented in binary and hexadecimal?
3219 converts to 110010010011 in binary and C93 in hexadecimal, which are helpful for computer science applications.
Is 3219 a perfect square, cube, or triangular number?
3219 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3219?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.