731
731 is a odd composite number that follows 730 and precedes 732. It is composed of 4 distinct factors: 1, 17, 43, 731. Its prime factorization can be written as 17 × 43. 731 is classified as a deficient number based on the sum of its proper divisors. In computer science, 731 is represented as 1011011011 in binary and 2DB in hexadecimal. Historically, it is written as DCCXXXI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (17 × 43) reveals 2 prime building blocks.
Divisible by 2
731 ends in 1, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 31 are not divisible by 4.
Divisible by 5
731 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 11 is not a multiple of 9.
Divisible by 10
731 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 731 within several notable number theory sequences:
Timeline
Deep dive
How 731 breaks down
731 carries 4 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 61, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011011011 supports bitwise reasoning, hexadecimal 2DB aligns with computing notation, and the Roman numeral DCCXXXI keeps the encyclopedic tradition alive. These attributes make 731 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 731 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (726–736) to tune search ranges, and educators feature 731 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) help historians, numerologists, and trivia writers tie 731 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 731
Is 731 a prime number?
731 is composite with 4 total factors and the prime factorization 17 × 43.
What is the prime factorization of 731?
It breaks down as 17 × 43, multiplying the primes 17 × 43.
How is 731 represented in binary and hexadecimal?
731 converts to 1011011011 in binary and 2DB in hexadecimal, which are helpful for computer science applications.
Is 731 a perfect square, cube, or triangular number?
731 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 731?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.