4744
4744 is a even composite number that follows 4743 and precedes 4745. It is composed of 8 distinct factors: 1, 2, 4, 8, 593, 1186, 2372, 4744. Its prime factorization can be written as 2^3 × 593. 4744 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4744 is represented as 1001010001000 in binary and 1288 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 593) reveals 4 prime building blocks.
Divisible by 2
4744 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 44 form a multiple of 4.
Divisible by 5
4744 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
4744 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 4744 within several notable number theory sequences:
Timeline
Deep dive
How 4744 breaks down
4744 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 4166, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001010001000 supports bitwise reasoning, hexadecimal 1288 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4744 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4744 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4739–4749) to tune search ranges, and educators feature 4744 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 4744 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 4744
Is 4744 a prime number?
4744 is composite with 8 total factors and the prime factorization 2^3 × 593.
What is the prime factorization of 4744?
It breaks down as 2^3 × 593, multiplying the primes 2 × 2 × 2 × 593.
How is 4744 represented in binary and hexadecimal?
4744 converts to 1001010001000 in binary and 1288 in hexadecimal, which are helpful for computer science applications.
Is 4744 a perfect square, cube, or triangular number?
4744 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4744?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.