3190
3190 is a even composite number that follows 3189 and precedes 3191. It is composed of 16 distinct factors: 1, 2, 5, 10, 11, 22, 29, 55, 58, 110, 145, 290, 319, 638, 1595, 3190. Its prime factorization can be written as 2 × 5 × 11 × 29. 3190 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3190 is represented as 110001110110 in binary and C76 in hexadecimal. Historically, it is written as MMMCXC in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 5 × 11 × 29) reveals 4 prime building blocks.
Divisible by 2
3190 ends in 0, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
3190 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 13 is not a multiple of 9.
Divisible by 10
3190 ends in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Abundant classification and digit analytics place 3190 within several notable number theory sequences:
Timeline
Deep dive
How 3190 breaks down
3190 carries 16 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 3290, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110001110110 supports bitwise reasoning, hexadecimal C76 aligns with computing notation, and the Roman numeral MMMCXC keeps the encyclopedic tradition alive. These attributes make 3190 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3190 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3185–3195) to tune search ranges, and educators feature 3190 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, Abundant numbers) help historians, numerologists, and trivia writers tie 3190 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 3190
Is 3190 a prime number?
3190 is composite with 16 total factors and the prime factorization 2 × 5 × 11 × 29.
What is the prime factorization of 3190?
It breaks down as 2 × 5 × 11 × 29, multiplying the primes 2 × 5 × 11 × 29.
How is 3190 represented in binary and hexadecimal?
3190 converts to 110001110110 in binary and C76 in hexadecimal, which are helpful for computer science applications.
Is 3190 a perfect square, cube, or triangular number?
3190 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3190?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.