2740
2740 is a even composite number that follows 2739 and precedes 2741. It is composed of 12 distinct factors: 1, 2, 4, 5, 10, 20, 137, 274, 548, 685, 1370, 2740. Its prime factorization can be written as 2^2 × 5 × 137. 2740 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2740 is represented as 101010110100 in binary and AB4 in hexadecimal. Historically, it is written as MMDCCXL in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 5 × 137) reveals 4 prime building blocks.
Divisible by 2
2740 ends in 0, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 40 form a multiple of 4.
Divisible by 5
2740 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 13 is not a multiple of 9.
Divisible by 10
2740 ends in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Abundant classification and digit analytics place 2740 within several notable number theory sequences:
Timeline
Deep dive
How 2740 breaks down
2740 carries 12 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 3056, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010110100 supports bitwise reasoning, hexadecimal AB4 aligns with computing notation, and the Roman numeral MMDCCXL keeps the encyclopedic tradition alive. These attributes make 2740 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2740 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2735–2745) to tune search ranges, and educators feature 2740 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 2740 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 2740
Is 2740 a prime number?
2740 is composite with 12 total factors and the prime factorization 2^2 × 5 × 137.
What is the prime factorization of 2740?
It breaks down as 2^2 × 5 × 137, multiplying the primes 2 × 2 × 5 × 137.
How is 2740 represented in binary and hexadecimal?
2740 converts to 101010110100 in binary and AB4 in hexadecimal, which are helpful for computer science applications.
Is 2740 a perfect square, cube, or triangular number?
2740 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2740?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.