743
743 is a odd prime number that follows 742 and precedes 744. As a prime number, 743 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 743. 743 is classified as a deficient number based on the sum of its proper divisors. In computer science, 743 is represented as 1011100111 in binary and 2E7 in hexadecimal. Historically, it is written as DCCXLIII in Roman numerals.
Factor Analysis
2 FactorsProperties
743 is prime, so its only factors are 1 and 743.
Divisible by 2
743 ends in 3, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 43 are not divisible by 4.
Divisible by 5
743 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 14 is not a multiple of 9.
Divisible by 10
743 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 743 within several notable number theory sequences:
Timeline
Deep dive
How 743 breaks down
743 carries 2 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011100111 supports bitwise reasoning, hexadecimal 2E7 aligns with computing notation, and the Roman numeral DCCXLIII keeps the encyclopedic tradition alive. These attributes make 743 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 743 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (738–748) to tune search ranges, and educators feature 743 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 743 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 743
Is 743 a prime number?
743 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 743?
743 is already prime, so the factorization is simply 743.
How is 743 represented in binary and hexadecimal?
743 converts to 1011100111 in binary and 2E7 in hexadecimal, which are helpful for computer science applications.
Is 743 a perfect square, cube, or triangular number?
743 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 743?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.