5733
5733 is a odd composite number that follows 5732 and precedes 5734. It is composed of 18 distinct factors: 1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 441, 637, 819, 1911, 5733. Its prime factorization can be written as 3^2 × 7^2 × 13. 5733 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5733 is represented as 1011001100101 in binary and 1665 in hexadecimal.
Factor Analysis
18 FactorsProperties
The prime factorization (3^2 × 7^2 × 13) reveals 5 prime building blocks.
Divisible by 2
5733 ends in 3, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 33 are not divisible by 4.
Divisible by 5
5733 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 18 is a multiple of 9.
Divisible by 10
5733 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 5733 within several notable number theory sequences:
Timeline
Deep dive
How 5733 breaks down
5733 carries 18 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 4641, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011001100101 supports bitwise reasoning, hexadecimal 1665 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5733 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5733 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5728–5738) to tune search ranges, and educators feature 5733 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 5733 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 5733
Is 5733 a prime number?
5733 is composite with 18 total factors and the prime factorization 3^2 × 7^2 × 13.
What is the prime factorization of 5733?
It breaks down as 3^2 × 7^2 × 13, multiplying the primes 3 × 3 × 7 × 7 × 13.
How is 5733 represented in binary and hexadecimal?
5733 converts to 1011001100101 in binary and 1665 in hexadecimal, which are helpful for computer science applications.
Is 5733 a perfect square, cube, or triangular number?
5733 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5733?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.