5064
5064 is a even composite number that follows 5063 and precedes 5065. It is composed of 16 distinct factors: 1, 2, 3, 4, 6, 8, 12, 24, 211, 422, 633, 844, 1266, 1688, 2532, 5064. Its prime factorization can be written as 2^3 × 3 × 211. 5064 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5064 is represented as 1001111001000 in binary and 13C8 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 3 × 211) reveals 5 prime building blocks.
Divisible by 2
5064 ends in 4, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
5064 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 15 is not a multiple of 9.
Divisible by 10
5064 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Abundant classification and digit analytics place 5064 within several notable number theory sequences:
Timeline
Deep dive
How 5064 breaks down
5064 carries 16 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 7656, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001111001000 supports bitwise reasoning, hexadecimal 13C8 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5064 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5064 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5059–5069) to tune search ranges, and educators feature 5064 in worksheets about factor trees. Its binary footprint of length 13 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 5064 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 5064
Is 5064 a prime number?
5064 is composite with 16 total factors and the prime factorization 2^3 × 3 × 211.
What is the prime factorization of 5064?
It breaks down as 2^3 × 3 × 211, multiplying the primes 2 × 2 × 2 × 3 × 211.
How is 5064 represented in binary and hexadecimal?
5064 converts to 1001111001000 in binary and 13C8 in hexadecimal, which are helpful for computer science applications.
Is 5064 a perfect square, cube, or triangular number?
5064 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5064?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.