3182
3182 is a even composite number that follows 3181 and precedes 3183. It is composed of 8 distinct factors: 1, 2, 37, 43, 74, 86, 1591, 3182. Its prime factorization can be written as 2 × 37 × 43. 3182 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3182 is represented as 110001101110 in binary and C6E in hexadecimal. Historically, it is written as MMMCLXXXII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 37 × 43) reveals 3 prime building blocks.
Divisible by 2
3182 ends in 2, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 82 are not divisible by 4.
Divisible by 5
3182 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 14 is not a multiple of 9.
Divisible by 10
3182 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 3182 within several notable number theory sequences:
Timeline
Deep dive
How 3182 breaks down
3182 carries 8 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 1834, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110001101110 supports bitwise reasoning, hexadecimal C6E aligns with computing notation, and the Roman numeral MMMCLXXXII keeps the encyclopedic tradition alive. These attributes make 3182 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3182 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3177–3187) to tune search ranges, and educators feature 3182 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 3182 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 3182
Is 3182 a prime number?
3182 is composite with 8 total factors and the prime factorization 2 × 37 × 43.
What is the prime factorization of 3182?
It breaks down as 2 × 37 × 43, multiplying the primes 2 × 37 × 43.
How is 3182 represented in binary and hexadecimal?
3182 converts to 110001101110 in binary and C6E in hexadecimal, which are helpful for computer science applications.
Is 3182 a perfect square, cube, or triangular number?
3182 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3182?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.