30
30 is a even composite number that follows 29 and precedes 31. It is composed of 8 distinct factors: 1, 2, 3, 5, 6, 10, 15, 30. Its prime factorization can be written as 2 × 3 × 5. 30 is classified as a abundant number based on the sum of its proper divisors. In computer science, 30 is represented as 11110 in binary and 1E in hexadecimal. Historically, it is written as XXX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 5) reveals 3 prime building blocks.
Divisible by 2
30 ends in 0, so it is even.
Divisible by 3
The digit sum 3 is a multiple of 3.
Divisible by 4
The last two digits 30 are not divisible by 4.
Divisible by 5
30 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 3 is not a multiple of 9.
Divisible by 10
30 ends in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 30 within several notable number theory sequences:
Timeline
Deep dive
How 30 breaks down
30 carries 8 distinct factors and a digit signature of 3 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 42, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11110 supports bitwise reasoning, hexadecimal 1E aligns with computing notation, and the Roman numeral XXX keeps the encyclopedic tradition alive. These attributes make 30 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 30 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (25–35) to tune search ranges, and educators feature 30 in worksheets about factor trees. Its binary footprint of length 5 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 30 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 30
Is 30 a prime number?
30 is composite with 8 total factors and the prime factorization 2 × 3 × 5.
What is the prime factorization of 30?
It breaks down as 2 × 3 × 5, multiplying the primes 2 × 3 × 5.
How is 30 represented in binary and hexadecimal?
30 converts to 11110 in binary and 1E in hexadecimal, which are helpful for computer science applications.
Is 30 a perfect square, cube, or triangular number?
30 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 30?
The digits sum to 3, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.