3498
3498 is a even composite number that follows 3497 and precedes 3499. It is composed of 16 distinct factors: 1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 159, 318, 583, 1166, 1749, 3498. Its prime factorization can be written as 2 × 3 × 11 × 53. 3498 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3498 is represented as 110110101010 in binary and DAA in hexadecimal. Historically, it is written as MMMCDXCVIII in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 11 × 53) reveals 4 prime building blocks.
Divisible by 2
3498 ends in 8, so it is even.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 98 are not divisible by 4.
Divisible by 5
3498 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 24 is not a multiple of 9.
Divisible by 10
3498 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 3498 within several notable number theory sequences:
Timeline
Deep dive
How 3498 breaks down
3498 carries 16 distinct factors and a digit signature of 24 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 4278, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110101010 supports bitwise reasoning, hexadecimal DAA aligns with computing notation, and the Roman numeral MMMCDXCVIII keeps the encyclopedic tradition alive. These attributes make 3498 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3498 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3493–3503) to tune search ranges, and educators feature 3498 in worksheets about factor trees. Its binary footprint of length 12 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 3498 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 3498
Is 3498 a prime number?
3498 is composite with 16 total factors and the prime factorization 2 × 3 × 11 × 53.
What is the prime factorization of 3498?
It breaks down as 2 × 3 × 11 × 53, multiplying the primes 2 × 3 × 11 × 53.
How is 3498 represented in binary and hexadecimal?
3498 converts to 110110101010 in binary and DAA in hexadecimal, which are helpful for computer science applications.
Is 3498 a perfect square, cube, or triangular number?
3498 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3498?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.