1494
1494 is a even composite number that follows 1493 and precedes 1495. It is composed of 12 distinct factors: 1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494. Its prime factorization can be written as 2 × 3^2 × 83. 1494 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1494 is represented as 10111010110 in binary and 5D6 in hexadecimal. Historically, it is written as MCDXCIV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 3^2 × 83) reveals 4 prime building blocks.
Divisible by 2
1494 ends in 4, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 94 are not divisible by 4.
Divisible by 5
1494 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 18 is a multiple of 9.
Divisible by 10
1494 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 1494 within several notable number theory sequences:
Timeline
Deep dive
How 1494 breaks down
1494 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 1782, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10111010110 supports bitwise reasoning, hexadecimal 5D6 aligns with computing notation, and the Roman numeral MCDXCIV keeps the encyclopedic tradition alive. These attributes make 1494 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1494 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1489–1499) to tune search ranges, and educators feature 1494 in worksheets about factor trees. Its binary footprint of length 11 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 1494 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 1494
Is 1494 a prime number?
1494 is composite with 12 total factors and the prime factorization 2 × 3^2 × 83.
What is the prime factorization of 1494?
It breaks down as 2 × 3^2 × 83, multiplying the primes 2 × 3 × 3 × 83.
How is 1494 represented in binary and hexadecimal?
1494 converts to 10111010110 in binary and 5D6 in hexadecimal, which are helpful for computer science applications.
Is 1494 a perfect square, cube, or triangular number?
1494 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1494?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.