3064
3064 is a even composite number that follows 3063 and precedes 3065. It is composed of 8 distinct factors: 1, 2, 4, 8, 383, 766, 1532, 3064. Its prime factorization can be written as 2^3 × 383. 3064 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3064 is represented as 101111111000 in binary and BF8 in hexadecimal. Historically, it is written as MMMLXIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 383) reveals 4 prime building blocks.
Divisible by 2
3064 ends in 4, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
3064 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 13 is not a multiple of 9.
Divisible by 10
3064 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 3064 within several notable number theory sequences:
Timeline
Deep dive
How 3064 breaks down
3064 carries 8 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 2696, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101111111000 supports bitwise reasoning, hexadecimal BF8 aligns with computing notation, and the Roman numeral MMMLXIV keeps the encyclopedic tradition alive. These attributes make 3064 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3064 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3059–3069) to tune search ranges, and educators feature 3064 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 3064 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 3064
Is 3064 a prime number?
3064 is composite with 8 total factors and the prime factorization 2^3 × 383.
What is the prime factorization of 3064?
It breaks down as 2^3 × 383, multiplying the primes 2 × 2 × 2 × 383.
How is 3064 represented in binary and hexadecimal?
3064 converts to 101111111000 in binary and BF8 in hexadecimal, which are helpful for computer science applications.
Is 3064 a perfect square, cube, or triangular number?
3064 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3064?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.