930
930 is a even composite number that follows 929 and precedes 931. It is composed of 16 distinct factors: 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930. Its prime factorization can be written as 2 × 3 × 5 × 31. 930 is classified as a abundant number based on the sum of its proper divisors. In computer science, 930 is represented as 1110100010 in binary and 3A2 in hexadecimal. Historically, it is written as CMXXX in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 5 × 31) reveals 4 prime building blocks.
Divisible by 2
930 ends in 0, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 30 are not divisible by 4.
Divisible by 5
930 ends in 0, so it is divisible by 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 12 is not a multiple of 9.
Divisible by 10
930 ends in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Abundant classification and digit analytics place 930 within several notable number theory sequences:
Timeline
Deep dive
How 930 breaks down
930 carries 16 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 1374, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110100010 supports bitwise reasoning, hexadecimal 3A2 aligns with computing notation, and the Roman numeral CMXXX keeps the encyclopedic tradition alive. These attributes make 930 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 930 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (925–935) to tune search ranges, and educators feature 930 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, Abundant numbers) help historians, numerologists, and trivia writers tie 930 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 930
Is 930 a prime number?
930 is composite with 16 total factors and the prime factorization 2 × 3 × 5 × 31.
What is the prime factorization of 930?
It breaks down as 2 × 3 × 5 × 31, multiplying the primes 2 × 3 × 5 × 31.
How is 930 represented in binary and hexadecimal?
930 converts to 1110100010 in binary and 3A2 in hexadecimal, which are helpful for computer science applications.
Is 930 a perfect square, cube, or triangular number?
930 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 930?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.