7520
7520 is a even composite number that follows 7519 and precedes 7521. It is composed of 24 distinct factors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 80, 94, 160, 188, 235, 376, 470, 752, 940, 1504, 1880, 3760, 7520. Its prime factorization can be written as 2^5 × 5 × 47. 7520 is classified as a abundant number based on the sum of its proper divisors. In computer science, 7520 is represented as 1110101100000 in binary and 1D60 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^5 × 5 × 47) reveals 7 prime building blocks.
Divisible by 2
7520 ends in 0, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 20 form a multiple of 4.
Divisible by 5
7520 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 14 is not a multiple of 9.
Divisible by 10
7520 ends in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 7520 within several notable number theory sequences:
Timeline
Deep dive
How 7520 breaks down
7520 carries 24 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 10624, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110101100000 supports bitwise reasoning, hexadecimal 1D60 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7520 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7520 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7515–7525) to tune search ranges, and educators feature 7520 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 7520 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 7520
Is 7520 a prime number?
7520 is composite with 24 total factors and the prime factorization 2^5 × 5 × 47.
What is the prime factorization of 7520?
It breaks down as 2^5 × 5 × 47, multiplying the primes 2 × 2 × 2 × 2 × 2 × 5 × 47.
How is 7520 represented in binary and hexadecimal?
7520 converts to 1110101100000 in binary and 1D60 in hexadecimal, which are helpful for computer science applications.
Is 7520 a perfect square, cube, or triangular number?
7520 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7520?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.