2592
2592 is a even composite number that follows 2591 and precedes 2593. It is composed of 30 distinct factors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, 2592. Its prime factorization can be written as 2^5 × 3^4. 2592 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2592 is represented as 101000100000 in binary and A20 in hexadecimal. Historically, it is written as MMDXCII in Roman numerals.
Factor Analysis
30 FactorsProperties
The prime factorization (2^5 × 3^4) reveals 9 prime building blocks.
Divisible by 2
2592 ends in 2, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 92 form a multiple of 4.
Divisible by 5
2592 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 18 is a multiple of 9.
Divisible by 10
2592 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 2592 within several notable number theory sequences:
Timeline
Deep dive
How 2592 breaks down
2592 carries 30 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 5031, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101000100000 supports bitwise reasoning, hexadecimal A20 aligns with computing notation, and the Roman numeral MMDXCII keeps the encyclopedic tradition alive. These attributes make 2592 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2592 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2587–2597) to tune search ranges, and educators feature 2592 in worksheets about factor trees. Its binary footprint of length 12 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 2592 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 2592
Is 2592 a prime number?
2592 is composite with 30 total factors and the prime factorization 2^5 × 3^4.
What is the prime factorization of 2592?
It breaks down as 2^5 × 3^4, multiplying the primes 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3.
How is 2592 represented in binary and hexadecimal?
2592 converts to 101000100000 in binary and A20 in hexadecimal, which are helpful for computer science applications.
Is 2592 a perfect square, cube, or triangular number?
2592 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2592?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.