741
741 is a odd composite number that follows 740 and precedes 742. It is composed of 8 distinct factors: 1, 3, 13, 19, 39, 57, 247, 741. Its prime factorization can be written as 3 × 13 × 19. 741 is classified as a deficient number based on the sum of its proper divisors. In computer science, 741 is represented as 1011100101 in binary and 2E5 in hexadecimal. Historically, it is written as DCCXLI in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 13 × 19) reveals 3 prime building blocks.
Divisible by 2
741 ends in 1, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 41 are not divisible by 4.
Divisible by 5
741 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 12 is not a multiple of 9.
Divisible by 10
741 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 741 within several notable number theory sequences:
Timeline
Deep dive
How 741 breaks down
741 carries 8 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 379, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011100101 supports bitwise reasoning, hexadecimal 2E5 aligns with computing notation, and the Roman numeral DCCXLI keeps the encyclopedic tradition alive. These attributes make 741 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 741 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (736–746) to tune search ranges, and educators feature 741 in worksheets about factor trees. Its binary footprint of length 10 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 741 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 741
Is 741 a prime number?
741 is composite with 8 total factors and the prime factorization 3 × 13 × 19.
What is the prime factorization of 741?
It breaks down as 3 × 13 × 19, multiplying the primes 3 × 13 × 19.
How is 741 represented in binary and hexadecimal?
741 converts to 1011100101 in binary and 2E5 in hexadecimal, which are helpful for computer science applications.
Is 741 a perfect square, cube, or triangular number?
741 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 741?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.