4364
4364 is a even composite number that follows 4363 and precedes 4365. It is composed of 6 distinct factors: 1, 2, 4, 1091, 2182, 4364. Its prime factorization can be written as 2^2 × 1091. 4364 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4364 is represented as 1000100001100 in binary and 110C in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 1091) reveals 3 prime building blocks.
Divisible by 2
4364 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
4364 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
4364 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 4364 within several notable number theory sequences:
Timeline
Deep dive
How 4364 breaks down
4364 carries 6 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 3280, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000100001100 supports bitwise reasoning, hexadecimal 110C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4364 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4364 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4359–4369) to tune search ranges, and educators feature 4364 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 4364 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 4364
Is 4364 a prime number?
4364 is composite with 6 total factors and the prime factorization 2^2 × 1091.
What is the prime factorization of 4364?
It breaks down as 2^2 × 1091, multiplying the primes 2 × 2 × 1091.
How is 4364 represented in binary and hexadecimal?
4364 converts to 1000100001100 in binary and 110C in hexadecimal, which are helpful for computer science applications.
Is 4364 a perfect square, cube, or triangular number?
4364 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4364?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.