3741
3741 is a odd composite number that follows 3740 and precedes 3742. It is composed of 8 distinct factors: 1, 3, 29, 43, 87, 129, 1247, 3741. Its prime factorization can be written as 3 × 29 × 43. 3741 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3741 is represented as 111010011101 in binary and E9D in hexadecimal. Historically, it is written as MMMDCCXLI in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 29 × 43) reveals 3 prime building blocks.
Divisible by 2
3741 ends in 1, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 41 are not divisible by 4.
Divisible by 5
3741 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 15 is not a multiple of 9.
Divisible by 10
3741 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 3741 within several notable number theory sequences:
Timeline
Deep dive
How 3741 breaks down
3741 carries 8 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 1539, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111010011101 supports bitwise reasoning, hexadecimal E9D aligns with computing notation, and the Roman numeral MMMDCCXLI keeps the encyclopedic tradition alive. These attributes make 3741 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3741 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3736–3746) to tune search ranges, and educators feature 3741 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, Deficient numbers, Triangular numbers) help historians, numerologists, and trivia writers tie 3741 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 3741
Is 3741 a prime number?
3741 is composite with 8 total factors and the prime factorization 3 × 29 × 43.
What is the prime factorization of 3741?
It breaks down as 3 × 29 × 43, multiplying the primes 3 × 29 × 43.
How is 3741 represented in binary and hexadecimal?
3741 converts to 111010011101 in binary and E9D in hexadecimal, which are helpful for computer science applications.
Is 3741 a perfect square, cube, or triangular number?
3741 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 3741?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.