745
745 is a odd composite number that follows 744 and precedes 746. It is composed of 4 distinct factors: 1, 5, 149, 745. Its prime factorization can be written as 5 × 149. 745 is classified as a deficient number based on the sum of its proper divisors. In computer science, 745 is represented as 1011101001 in binary and 2E9 in hexadecimal. Historically, it is written as DCCXLV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (5 × 149) reveals 2 prime building blocks.
Divisible by 2
745 ends in 5, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 45 are not divisible by 4.
Divisible by 5
745 ends in 5, 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
745 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 745 within several notable number theory sequences:
Timeline
Deep dive
How 745 breaks down
745 carries 4 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 155, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011101001 supports bitwise reasoning, hexadecimal 2E9 aligns with computing notation, and the Roman numeral DCCXLV keeps the encyclopedic tradition alive. These attributes make 745 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 745 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (740–750) to tune search ranges, and educators feature 745 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 745 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 745
Is 745 a prime number?
745 is composite with 4 total factors and the prime factorization 5 × 149.
What is the prime factorization of 745?
It breaks down as 5 × 149, multiplying the primes 5 × 149.
How is 745 represented in binary and hexadecimal?
745 converts to 1011101001 in binary and 2E9 in hexadecimal, which are helpful for computer science applications.
Is 745 a perfect square, cube, or triangular number?
745 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 745?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.