3144
3144 is a even composite number that follows 3143 and precedes 3145. It is composed of 16 distinct factors: 1, 2, 3, 4, 6, 8, 12, 24, 131, 262, 393, 524, 786, 1048, 1572, 3144. Its prime factorization can be written as 2^3 × 3 × 131. 3144 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3144 is represented as 110001001000 in binary and C48 in hexadecimal. Historically, it is written as MMMCXLIV in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 3 × 131) reveals 5 prime building blocks.
Divisible by 2
3144 ends in 4, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 44 form a multiple of 4.
Divisible by 5
3144 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 12 is not a multiple of 9.
Divisible by 10
3144 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 3144 within several notable number theory sequences:
Timeline
Deep dive
How 3144 breaks down
3144 carries 16 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 4776, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110001001000 supports bitwise reasoning, hexadecimal C48 aligns with computing notation, and the Roman numeral MMMCXLIV keeps the encyclopedic tradition alive. These attributes make 3144 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3144 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3139–3149) to tune search ranges, and educators feature 3144 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 3144 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 3144
Is 3144 a prime number?
3144 is composite with 16 total factors and the prime factorization 2^3 × 3 × 131.
What is the prime factorization of 3144?
It breaks down as 2^3 × 3 × 131, multiplying the primes 2 × 2 × 2 × 3 × 131.
How is 3144 represented in binary and hexadecimal?
3144 converts to 110001001000 in binary and C48 in hexadecimal, which are helpful for computer science applications.
Is 3144 a perfect square, cube, or triangular number?
3144 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3144?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.