592
592 is a even composite number that follows 591 and precedes 593. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 37, 74, 148, 296, 592. Its prime factorization can be written as 2^4 × 37. 592 is classified as a deficient number based on the sum of its proper divisors. In computer science, 592 is represented as 1001010000 in binary and 250 in hexadecimal. Historically, it is written as DXCII in Roman numerals.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 37) reveals 5 prime building blocks.
Divisible by 2
592 ends in 2, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 92 form a multiple of 4.
Divisible by 5
592 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 16 is not a multiple of 9.
Divisible by 10
592 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 592 within several notable number theory sequences:
Timeline
Deep dive
How 592 breaks down
592 carries 10 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 586, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001010000 supports bitwise reasoning, hexadecimal 250 aligns with computing notation, and the Roman numeral DXCII keeps the encyclopedic tradition alive. These attributes make 592 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 592 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (587–597) to tune search ranges, and educators feature 592 in worksheets about factor trees. Its binary footprint of length 10 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 592 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 592
Is 592 a prime number?
592 is composite with 10 total factors and the prime factorization 2^4 × 37.
What is the prime factorization of 592?
It breaks down as 2^4 × 37, multiplying the primes 2 × 2 × 2 × 2 × 37.
How is 592 represented in binary and hexadecimal?
592 converts to 1001010000 in binary and 250 in hexadecimal, which are helpful for computer science applications.
Is 592 a perfect square, cube, or triangular number?
592 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 592?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.