3445
3445 is a odd composite number that follows 3444 and precedes 3446. It is composed of 8 distinct factors: 1, 5, 13, 53, 65, 265, 689, 3445. Its prime factorization can be written as 5 × 13 × 53. 3445 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3445 is represented as 110101110101 in binary and D75 in hexadecimal. Historically, it is written as MMMCDXLV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (5 × 13 × 53) reveals 3 prime building blocks.
Divisible by 2
3445 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
3445 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
3445 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 3445 within several notable number theory sequences:
Timeline
Deep dive
How 3445 breaks down
3445 carries 8 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 1091, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101110101 supports bitwise reasoning, hexadecimal D75 aligns with computing notation, and the Roman numeral MMMCDXLV keeps the encyclopedic tradition alive. These attributes make 3445 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3445 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3440–3450) to tune search ranges, and educators feature 3445 in worksheets about factor trees. Its binary footprint of length 12 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 3445 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 3445
Is 3445 a prime number?
3445 is composite with 8 total factors and the prime factorization 5 × 13 × 53.
What is the prime factorization of 3445?
It breaks down as 5 × 13 × 53, multiplying the primes 5 × 13 × 53.
How is 3445 represented in binary and hexadecimal?
3445 converts to 110101110101 in binary and D75 in hexadecimal, which are helpful for computer science applications.
Is 3445 a perfect square, cube, or triangular number?
3445 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3445?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.