3150
3150 is a even composite number that follows 3149 and precedes 3151. It is composed of 36 distinct factors: 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150. Its prime factorization can be written as 2 × 3^2 × 5^2 × 7. 3150 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3150 is represented as 110001001110 in binary and C4E in hexadecimal. Historically, it is written as MMMCL in Roman numerals.
Factor Analysis
36 FactorsProperties
The prime factorization (2 × 3^2 × 5^2 × 7) reveals 6 prime building blocks.
Divisible by 2
3150 ends in 0, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
3150 ends in 0, so it is divisible by 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 9 is a multiple of 9.
Divisible by 10
3150 ends in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Abundant classification and digit analytics place 3150 within several notable number theory sequences:
Timeline
Deep dive
How 3150 breaks down
3150 carries 36 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 6522, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110001001110 supports bitwise reasoning, hexadecimal C4E aligns with computing notation, and the Roman numeral MMMCL keeps the encyclopedic tradition alive. These attributes make 3150 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3150 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3145–3155) to tune search ranges, and educators feature 3150 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 3150 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 3150
Is 3150 a prime number?
3150 is composite with 36 total factors and the prime factorization 2 × 3^2 × 5^2 × 7.
What is the prime factorization of 3150?
It breaks down as 2 × 3^2 × 5^2 × 7, multiplying the primes 2 × 3 × 3 × 5 × 5 × 7.
How is 3150 represented in binary and hexadecimal?
3150 converts to 110001001110 in binary and C4E in hexadecimal, which are helpful for computer science applications.
Is 3150 a perfect square, cube, or triangular number?
3150 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3150?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.