3740
3740 is a even composite number that follows 3739 and precedes 3741. It is composed of 24 distinct factors: 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870, 3740. Its prime factorization can be written as 2^2 × 5 × 11 × 17. 3740 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3740 is represented as 111010011100 in binary and E9C in hexadecimal. Historically, it is written as MMMDCCXL in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 5 × 11 × 17) reveals 5 prime building blocks.
Divisible by 2
3740 ends in 0, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 40 form a multiple of 4.
Divisible by 5
3740 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 14 is not a multiple of 9.
Divisible by 10
3740 ends in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 3740 within several notable number theory sequences:
Timeline
Deep dive
How 3740 breaks down
3740 carries 24 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 5332, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111010011100 supports bitwise reasoning, hexadecimal E9C aligns with computing notation, and the Roman numeral MMMDCCXL keeps the encyclopedic tradition alive. These attributes make 3740 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3740 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3735–3745) to tune search ranges, and educators feature 3740 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 3740 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 3740
Is 3740 a prime number?
3740 is composite with 24 total factors and the prime factorization 2^2 × 5 × 11 × 17.
What is the prime factorization of 3740?
It breaks down as 2^2 × 5 × 11 × 17, multiplying the primes 2 × 2 × 5 × 11 × 17.
How is 3740 represented in binary and hexadecimal?
3740 converts to 111010011100 in binary and E9C in hexadecimal, which are helpful for computer science applications.
Is 3740 a perfect square, cube, or triangular number?
3740 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3740?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.