3146
3146 is a even composite number that follows 3145 and precedes 3147. It is composed of 12 distinct factors: 1, 2, 11, 13, 22, 26, 121, 143, 242, 286, 1573, 3146. Its prime factorization can be written as 2 × 11^2 × 13. 3146 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3146 is represented as 110001001010 in binary and C4A in hexadecimal. Historically, it is written as MMMCXLVI in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 11^2 × 13) reveals 4 prime building blocks.
Divisible by 2
3146 ends in 6, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 46 are not divisible by 4.
Divisible by 5
3146 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
3146 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 3146 within several notable number theory sequences:
Timeline
Deep dive
How 3146 breaks down
3146 carries 12 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 2440, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110001001010 supports bitwise reasoning, hexadecimal C4A aligns with computing notation, and the Roman numeral MMMCXLVI keeps the encyclopedic tradition alive. These attributes make 3146 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3146 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3141–3151) to tune search ranges, and educators feature 3146 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 3146 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 3146
Is 3146 a prime number?
3146 is composite with 12 total factors and the prime factorization 2 × 11^2 × 13.
What is the prime factorization of 3146?
It breaks down as 2 × 11^2 × 13, multiplying the primes 2 × 11 × 11 × 13.
How is 3146 represented in binary and hexadecimal?
3146 converts to 110001001010 in binary and C4A in hexadecimal, which are helpful for computer science applications.
Is 3146 a perfect square, cube, or triangular number?
3146 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3146?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.