730
730 is a even composite number that follows 729 and precedes 731. It is composed of 8 distinct factors: 1, 2, 5, 10, 73, 146, 365, 730. Its prime factorization can be written as 2 × 5 × 73. 730 is classified as a deficient number based on the sum of its proper divisors. In computer science, 730 is represented as 1011011010 in binary and 2DA in hexadecimal. Historically, it is written as DCCXXX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 5 × 73) reveals 3 prime building blocks.
Divisible by 2
730 ends in 0, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 30 are not divisible by 4.
Divisible by 5
730 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 10 is not a multiple of 9.
Divisible by 10
730 ends in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 730 within several notable number theory sequences:
Timeline
Deep dive
How 730 breaks down
730 carries 8 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 602, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011011010 supports bitwise reasoning, hexadecimal 2DA aligns with computing notation, and the Roman numeral DCCXXX keeps the encyclopedic tradition alive. These attributes make 730 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 730 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (725–735) to tune search ranges, and educators feature 730 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 730 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 730
Is 730 a prime number?
730 is composite with 8 total factors and the prime factorization 2 × 5 × 73.
What is the prime factorization of 730?
It breaks down as 2 × 5 × 73, multiplying the primes 2 × 5 × 73.
How is 730 represented in binary and hexadecimal?
730 converts to 1011011010 in binary and 2DA in hexadecimal, which are helpful for computer science applications.
Is 730 a perfect square, cube, or triangular number?
730 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 730?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.