294
294 is a even composite number that follows 293 and precedes 295. It is composed of 12 distinct factors: 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294. Its prime factorization can be written as 2 × 3 × 7^2. 294 is classified as a abundant number based on the sum of its proper divisors. In computer science, 294 is represented as 100100110 in binary and 126 in hexadecimal. Historically, it is written as CCXCIV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 3 × 7^2) reveals 4 prime building blocks.
Divisible by 2
294 ends in 4, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 94 are not divisible by 4.
Divisible by 5
294 does not end in 0 or 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 15 is not a multiple of 9.
Divisible by 10
294 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Abundant classification and digit analytics place 294 within several notable number theory sequences:
Timeline
Deep dive
How 294 breaks down
294 carries 12 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 390, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100100110 supports bitwise reasoning, hexadecimal 126 aligns with computing notation, and the Roman numeral CCXCIV keeps the encyclopedic tradition alive. These attributes make 294 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 294 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (289–299) to tune search ranges, and educators feature 294 in worksheets about factor trees. Its binary footprint of length 9 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 294 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 294
Is 294 a prime number?
294 is composite with 12 total factors and the prime factorization 2 × 3 × 7^2.
What is the prime factorization of 294?
It breaks down as 2 × 3 × 7^2, multiplying the primes 2 × 3 × 7 × 7.
How is 294 represented in binary and hexadecimal?
294 converts to 100100110 in binary and 126 in hexadecimal, which are helpful for computer science applications.
Is 294 a perfect square, cube, or triangular number?
294 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 294?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.