3492
3492 is a even composite number that follows 3491 and precedes 3493. It is composed of 18 distinct factors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746, 3492. Its prime factorization can be written as 2^2 × 3^2 × 97. 3492 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3492 is represented as 110110100100 in binary and DA4 in hexadecimal. Historically, it is written as MMMCDXCII in Roman numerals.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 3^2 × 97) reveals 5 prime building blocks.
Divisible by 2
3492 ends in 2, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 92 form a multiple of 4.
Divisible by 5
3492 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 18 is a multiple of 9.
Divisible by 10
3492 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Abundant classification and digit analytics place 3492 within several notable number theory sequences:
Timeline
Deep dive
How 3492 breaks down
3492 carries 18 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 5426, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110100100 supports bitwise reasoning, hexadecimal DA4 aligns with computing notation, and the Roman numeral MMMCDXCII keeps the encyclopedic tradition alive. These attributes make 3492 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3492 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3487–3497) to tune search ranges, and educators feature 3492 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 3492 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 3492
Is 3492 a prime number?
3492 is composite with 18 total factors and the prime factorization 2^2 × 3^2 × 97.
What is the prime factorization of 3492?
It breaks down as 2^2 × 3^2 × 97, multiplying the primes 2 × 2 × 3 × 3 × 97.
How is 3492 represented in binary and hexadecimal?
3492 converts to 110110100100 in binary and DA4 in hexadecimal, which are helpful for computer science applications.
Is 3492 a perfect square, cube, or triangular number?
3492 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3492?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.