3464
3464 is a even composite number that follows 3463 and precedes 3465. It is composed of 8 distinct factors: 1, 2, 4, 8, 433, 866, 1732, 3464. Its prime factorization can be written as 2^3 × 433. 3464 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3464 is represented as 110110001000 in binary and D88 in hexadecimal. Historically, it is written as MMMCDLXIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 433) reveals 4 prime building blocks.
Divisible by 2
3464 ends in 4, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
3464 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 17 is not a multiple of 9.
Divisible by 10
3464 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 3464 within several notable number theory sequences:
Timeline
Deep dive
How 3464 breaks down
3464 carries 8 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 3046, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110001000 supports bitwise reasoning, hexadecimal D88 aligns with computing notation, and the Roman numeral MMMCDLXIV keeps the encyclopedic tradition alive. These attributes make 3464 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3464 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3459–3469) to tune search ranges, and educators feature 3464 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 3464 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 3464
Is 3464 a prime number?
3464 is composite with 8 total factors and the prime factorization 2^3 × 433.
What is the prime factorization of 3464?
It breaks down as 2^3 × 433, multiplying the primes 2 × 2 × 2 × 433.
How is 3464 represented in binary and hexadecimal?
3464 converts to 110110001000 in binary and D88 in hexadecimal, which are helpful for computer science applications.
Is 3464 a perfect square, cube, or triangular number?
3464 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3464?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.