1493
1493 is a odd prime number that follows 1492 and precedes 1494. As a prime number, 1493 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 1493. 1493 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1493 is represented as 10111010101 in binary and 5D5 in hexadecimal. Historically, it is written as MCDXCIII in Roman numerals.
Factor Analysis
2 FactorsProperties
1493 is prime, so its only factors are 1 and 1493.
Divisible by 2
1493 ends in 3, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 93 are not divisible by 4.
Divisible by 5
1493 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 17 is not a multiple of 9.
Divisible by 10
1493 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 1493 within several notable number theory sequences:
Timeline
Deep dive
How 1493 breaks down
1493 carries 2 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10111010101 supports bitwise reasoning, hexadecimal 5D5 aligns with computing notation, and the Roman numeral MCDXCIII keeps the encyclopedic tradition alive. These attributes make 1493 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1493 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1488–1498) to tune search ranges, and educators feature 1493 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 1493 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 1493
Is 1493 a prime number?
1493 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 1493?
1493 is already prime, so the factorization is simply 1493.
How is 1493 represented in binary and hexadecimal?
1493 converts to 10111010101 in binary and 5D5 in hexadecimal, which are helpful for computer science applications.
Is 1493 a perfect square, cube, or triangular number?
1493 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1493?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.