931
931 is a odd composite number that follows 930 and precedes 932. It is composed of 6 distinct factors: 1, 7, 19, 49, 133, 931. Its prime factorization can be written as 7^2 × 19. 931 is classified as a deficient number based on the sum of its proper divisors. In computer science, 931 is represented as 1110100011 in binary and 3A3 in hexadecimal. Historically, it is written as CMXXXI in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (7^2 × 19) reveals 3 prime building blocks.
Divisible by 2
931 ends in 1, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 31 are not divisible by 4.
Divisible by 5
931 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 13 is not a multiple of 9.
Divisible by 10
931 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 931 within several notable number theory sequences:
Timeline
Deep dive
How 931 breaks down
931 carries 6 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 209, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110100011 supports bitwise reasoning, hexadecimal 3A3 aligns with computing notation, and the Roman numeral CMXXXI keeps the encyclopedic tradition alive. These attributes make 931 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 931 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (926–936) to tune search ranges, and educators feature 931 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 931 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 931
Is 931 a prime number?
931 is composite with 6 total factors and the prime factorization 7^2 × 19.
What is the prime factorization of 931?
It breaks down as 7^2 × 19, multiplying the primes 7 × 7 × 19.
How is 931 represented in binary and hexadecimal?
931 converts to 1110100011 in binary and 3A3 in hexadecimal, which are helpful for computer science applications.
Is 931 a perfect square, cube, or triangular number?
931 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 931?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.