750
750 is a even composite number that follows 749 and precedes 751. It is composed of 16 distinct factors: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750. Its prime factorization can be written as 2 × 3 × 5^3. 750 is classified as a abundant number based on the sum of its proper divisors. In computer science, 750 is represented as 1011101110 in binary and 2EE in hexadecimal. Historically, it is written as DCCL in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 5^3) reveals 5 prime building blocks.
Divisible by 2
750 ends in 0, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
750 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 12 is not a multiple of 9.
Divisible by 10
750 ends in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 750 within several notable number theory sequences:
Timeline
Deep dive
How 750 breaks down
750 carries 16 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 1122, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011101110 supports bitwise reasoning, hexadecimal 2EE aligns with computing notation, and the Roman numeral DCCL keeps the encyclopedic tradition alive. These attributes make 750 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 750 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (745–755) to tune search ranges, and educators feature 750 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 750 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 750
Is 750 a prime number?
750 is composite with 16 total factors and the prime factorization 2 × 3 × 5^3.
What is the prime factorization of 750?
It breaks down as 2 × 3 × 5^3, multiplying the primes 2 × 3 × 5 × 5 × 5.
How is 750 represented in binary and hexadecimal?
750 converts to 1011101110 in binary and 2EE in hexadecimal, which are helpful for computer science applications.
Is 750 a perfect square, cube, or triangular number?
750 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 750?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.