994
994 is a even composite number that follows 993 and precedes 995. It is composed of 8 distinct factors: 1, 2, 7, 14, 71, 142, 497, 994. Its prime factorization can be written as 2 × 7 × 71. 994 is classified as a deficient number based on the sum of its proper divisors. In computer science, 994 is represented as 1111100010 in binary and 3E2 in hexadecimal. Historically, it is written as CMXCIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 7 × 71) reveals 3 prime building blocks.
Divisible by 2
994 ends in 4, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 94 are not divisible by 4.
Divisible by 5
994 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 22 is not a multiple of 9.
Divisible by 10
994 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 994 within several notable number theory sequences:
Timeline
Deep dive
How 994 breaks down
994 carries 8 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 734, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111100010 supports bitwise reasoning, hexadecimal 3E2 aligns with computing notation, and the Roman numeral CMXCIV keeps the encyclopedic tradition alive. These attributes make 994 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 994 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (989–999) to tune search ranges, and educators feature 994 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 994 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 994
Is 994 a prime number?
994 is composite with 8 total factors and the prime factorization 2 × 7 × 71.
What is the prime factorization of 994?
It breaks down as 2 × 7 × 71, multiplying the primes 2 × 7 × 71.
How is 994 represented in binary and hexadecimal?
994 converts to 1111100010 in binary and 3E2 in hexadecimal, which are helpful for computer science applications.
Is 994 a perfect square, cube, or triangular number?
994 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 994?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.