1498
1498 is a even composite number that follows 1497 and precedes 1499. It is composed of 8 distinct factors: 1, 2, 7, 14, 107, 214, 749, 1498. Its prime factorization can be written as 2 × 7 × 107. 1498 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1498 is represented as 10111011010 in binary and 5DA in hexadecimal. Historically, it is written as MCDXCVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 7 × 107) reveals 3 prime building blocks.
Divisible by 2
1498 ends in 8, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 98 are not divisible by 4.
Divisible by 5
1498 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
1498 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 1498 within several notable number theory sequences:
Timeline
Deep dive
How 1498 breaks down
1498 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 1094, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10111011010 supports bitwise reasoning, hexadecimal 5DA aligns with computing notation, and the Roman numeral MCDXCVIII keeps the encyclopedic tradition alive. These attributes make 1498 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1498 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1493–1503) to tune search ranges, and educators feature 1498 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, Deficient numbers) help historians, numerologists, and trivia writers tie 1498 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 1498
Is 1498 a prime number?
1498 is composite with 8 total factors and the prime factorization 2 × 7 × 107.
What is the prime factorization of 1498?
It breaks down as 2 × 7 × 107, multiplying the primes 2 × 7 × 107.
How is 1498 represented in binary and hexadecimal?
1498 converts to 10111011010 in binary and 5DA in hexadecimal, which are helpful for computer science applications.
Is 1498 a perfect square, cube, or triangular number?
1498 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1498?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.