493
493 is a odd composite number that follows 492 and precedes 494. It is composed of 4 distinct factors: 1, 17, 29, 493. Its prime factorization can be written as 17 × 29. 493 is classified as a deficient number based on the sum of its proper divisors. In computer science, 493 is represented as 111101101 in binary and 1ED in hexadecimal. Historically, it is written as CDXCIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (17 × 29) reveals 2 prime building blocks.
Divisible by 2
493 ends in 3, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 93 are not divisible by 4.
Divisible by 5
493 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 16 is not a multiple of 9.
Divisible by 10
493 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 493 within several notable number theory sequences:
Timeline
Deep dive
How 493 breaks down
493 carries 4 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 47, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111101101 supports bitwise reasoning, hexadecimal 1ED aligns with computing notation, and the Roman numeral CDXCIII keeps the encyclopedic tradition alive. These attributes make 493 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 493 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (488–498) to tune search ranges, and educators feature 493 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, Deficient numbers) help historians, numerologists, and trivia writers tie 493 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 493
Is 493 a prime number?
493 is composite with 4 total factors and the prime factorization 17 × 29.
What is the prime factorization of 493?
It breaks down as 17 × 29, multiplying the primes 17 × 29.
How is 493 represented in binary and hexadecimal?
493 converts to 111101101 in binary and 1ED in hexadecimal, which are helpful for computer science applications.
Is 493 a perfect square, cube, or triangular number?
493 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 493?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.