3493
3493 is a odd composite number that follows 3492 and precedes 3494. It is composed of 4 distinct factors: 1, 7, 499, 3493. Its prime factorization can be written as 7 × 499. 3493 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3493 is represented as 110110100101 in binary and DA5 in hexadecimal. Historically, it is written as MMMCDXCIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (7 × 499) reveals 2 prime building blocks.
Divisible by 2
3493 ends in 3, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 93 are not divisible by 4.
Divisible by 5
3493 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 19 is not a multiple of 9.
Divisible by 10
3493 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 3493 within several notable number theory sequences:
Timeline
Deep dive
How 3493 breaks down
3493 carries 4 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 507, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110100101 supports bitwise reasoning, hexadecimal DA5 aligns with computing notation, and the Roman numeral MMMCDXCIII keeps the encyclopedic tradition alive. These attributes make 3493 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3493 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3488–3498) to tune search ranges, and educators feature 3493 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, Deficient numbers) help historians, numerologists, and trivia writers tie 3493 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 3493
Is 3493 a prime number?
3493 is composite with 4 total factors and the prime factorization 7 × 499.
What is the prime factorization of 3493?
It breaks down as 7 × 499, multiplying the primes 7 × 499.
How is 3493 represented in binary and hexadecimal?
3493 converts to 110110100101 in binary and DA5 in hexadecimal, which are helpful for computer science applications.
Is 3493 a perfect square, cube, or triangular number?
3493 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3493?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.