5920
5920 is a even composite number that follows 5919 and precedes 5921. It is composed of 24 distinct factors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185, 296, 370, 592, 740, 1184, 1480, 2960, 5920. Its prime factorization can be written as 2^5 × 5 × 37. 5920 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5920 is represented as 1011100100000 in binary and 1720 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^5 × 5 × 37) reveals 7 prime building blocks.
Divisible by 2
5920 ends in 0, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 20 form a multiple of 4.
Divisible by 5
5920 ends in 0, so it is divisible by 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
5920 ends in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Abundant classification and digit analytics place 5920 within several notable number theory sequences:
Timeline
Deep dive
How 5920 breaks down
5920 carries 24 distinct factors and a digit signature of 16 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 8444, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011100100000 supports bitwise reasoning, hexadecimal 1720 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5920 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5920 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5915–5925) to tune search ranges, and educators feature 5920 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, Abundant numbers) help historians, numerologists, and trivia writers tie 5920 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 5920
Is 5920 a prime number?
5920 is composite with 24 total factors and the prime factorization 2^5 × 5 × 37.
What is the prime factorization of 5920?
It breaks down as 2^5 × 5 × 37, multiplying the primes 2 × 2 × 2 × 2 × 2 × 5 × 37.
How is 5920 represented in binary and hexadecimal?
5920 converts to 1011100100000 in binary and 1720 in hexadecimal, which are helpful for computer science applications.
Is 5920 a perfect square, cube, or triangular number?
5920 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5920?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.