720
720 is a even composite number that follows 719 and precedes 721. It is composed of 30 distinct factors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720. Its prime factorization can be written as 2^4 × 3^2 × 5. 720 is classified as a abundant number based on the sum of its proper divisors. In computer science, 720 is represented as 1011010000 in binary and 2D0 in hexadecimal. Historically, it is written as DCCXX in Roman numerals.
Factor Analysis
30 FactorsProperties
The prime factorization (2^4 × 3^2 × 5) reveals 7 prime building blocks.
Divisible by 2
720 ends in 0, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 20 form a multiple of 4.
Divisible by 5
720 ends in 0, so it is divisible by 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 9 is a multiple of 9.
Divisible by 10
720 ends in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 720 within several notable number theory sequences:
Timeline
Deep dive
How 720 breaks down
720 carries 30 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 1698, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011010000 supports bitwise reasoning, hexadecimal 2D0 aligns with computing notation, and the Roman numeral DCCXX keeps the encyclopedic tradition alive. These attributes make 720 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 720 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (715–725) to tune search ranges, and educators feature 720 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, Abundant numbers) help historians, numerologists, and trivia writers tie 720 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 720
Is 720 a prime number?
720 is composite with 30 total factors and the prime factorization 2^4 × 3^2 × 5.
What is the prime factorization of 720?
It breaks down as 2^4 × 3^2 × 5, multiplying the primes 2 × 2 × 2 × 2 × 3 × 3 × 5.
How is 720 represented in binary and hexadecimal?
720 converts to 1011010000 in binary and 2D0 in hexadecimal, which are helpful for computer science applications.
Is 720 a perfect square, cube, or triangular number?
720 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 720?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.