3140
3140 is a even composite number that follows 3139 and precedes 3141. It is composed of 12 distinct factors: 1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140. Its prime factorization can be written as 2^2 × 5 × 157. 3140 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3140 is represented as 110001000100 in binary and C44 in hexadecimal. Historically, it is written as MMMCXL in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 5 × 157) reveals 4 prime building blocks.
Divisible by 2
3140 ends in 0, so it is even.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 40 form a multiple of 4.
Divisible by 5
3140 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 8 is not a multiple of 9.
Divisible by 10
3140 ends in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Abundant classification and digit analytics place 3140 within several notable number theory sequences:
Timeline
Deep dive
How 3140 breaks down
3140 carries 12 distinct factors and a digit signature of 8 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 3496, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110001000100 supports bitwise reasoning, hexadecimal C44 aligns with computing notation, and the Roman numeral MMMCXL keeps the encyclopedic tradition alive. These attributes make 3140 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3140 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3135–3145) to tune search ranges, and educators feature 3140 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 3140 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 3140
Is 3140 a prime number?
3140 is composite with 12 total factors and the prime factorization 2^2 × 5 × 157.
What is the prime factorization of 3140?
It breaks down as 2^2 × 5 × 157, multiplying the primes 2 × 2 × 5 × 157.
How is 3140 represented in binary and hexadecimal?
3140 converts to 110001000100 in binary and C44 in hexadecimal, which are helpful for computer science applications.
Is 3140 a perfect square, cube, or triangular number?
3140 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3140?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.