3496
3496 is a even composite number that follows 3495 and precedes 3497. It is composed of 16 distinct factors: 1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 874, 1748, 3496. Its prime factorization can be written as 2^3 × 19 × 23. 3496 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3496 is represented as 110110101000 in binary and DA8 in hexadecimal. Historically, it is written as MMMCDXCVI in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 19 × 23) reveals 5 prime building blocks.
Divisible by 2
3496 ends in 6, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 96 form a multiple of 4.
Divisible by 5
3496 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
3496 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 3496 within several notable number theory sequences:
Timeline
Deep dive
How 3496 breaks down
3496 carries 16 distinct factors and a digit signature of 22 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 3704, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110101000 supports bitwise reasoning, hexadecimal DA8 aligns with computing notation, and the Roman numeral MMMCDXCVI keeps the encyclopedic tradition alive. These attributes make 3496 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3496 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3491–3501) to tune search ranges, and educators feature 3496 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 3496 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 3496
Is 3496 a prime number?
3496 is composite with 16 total factors and the prime factorization 2^3 × 19 × 23.
What is the prime factorization of 3496?
It breaks down as 2^3 × 19 × 23, multiplying the primes 2 × 2 × 2 × 19 × 23.
How is 3496 represented in binary and hexadecimal?
3496 converts to 110110101000 in binary and DA8 in hexadecimal, which are helpful for computer science applications.
Is 3496 a perfect square, cube, or triangular number?
3496 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3496?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.