5464
5464 is a even composite number that follows 5463 and precedes 5465. It is composed of 8 distinct factors: 1, 2, 4, 8, 683, 1366, 2732, 5464. Its prime factorization can be written as 2^3 × 683. 5464 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5464 is represented as 1010101011000 in binary and 1558 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 683) reveals 4 prime building blocks.
Divisible by 2
5464 ends in 4, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
5464 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 19 is not a multiple of 9.
Divisible by 10
5464 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 5464 within several notable number theory sequences:
Timeline
Deep dive
How 5464 breaks down
5464 carries 8 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 4796, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010101011000 supports bitwise reasoning, hexadecimal 1558 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5464 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5464 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5459–5469) to tune search ranges, and educators feature 5464 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, Deficient numbers) help historians, numerologists, and trivia writers tie 5464 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 5464
Is 5464 a prime number?
5464 is composite with 8 total factors and the prime factorization 2^3 × 683.
What is the prime factorization of 5464?
It breaks down as 2^3 × 683, multiplying the primes 2 × 2 × 2 × 683.
How is 5464 represented in binary and hexadecimal?
5464 converts to 1010101011000 in binary and 1558 in hexadecimal, which are helpful for computer science applications.
Is 5464 a perfect square, cube, or triangular number?
5464 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5464?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.