1295
1295 is a odd composite number that follows 1294 and precedes 1296. It is composed of 8 distinct factors: 1, 5, 7, 35, 37, 185, 259, 1295. Its prime factorization can be written as 5 × 7 × 37. 1295 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1295 is represented as 10100001111 in binary and 50F in hexadecimal. Historically, it is written as MCCXCV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (5 × 7 × 37) reveals 3 prime building blocks.
Divisible by 2
1295 ends in 5, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 95 are not divisible by 4.
Divisible by 5
1295 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 17 is not a multiple of 9.
Divisible by 10
1295 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 1295 within several notable number theory sequences:
Timeline
Deep dive
How 1295 breaks down
1295 carries 8 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 529, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10100001111 supports bitwise reasoning, hexadecimal 50F aligns with computing notation, and the Roman numeral MCCXCV keeps the encyclopedic tradition alive. These attributes make 1295 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1295 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1290–1300) to tune search ranges, and educators feature 1295 in worksheets about factor trees. Its binary footprint of length 11 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 1295 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 1295
Is 1295 a prime number?
1295 is composite with 8 total factors and the prime factorization 5 × 7 × 37.
What is the prime factorization of 1295?
It breaks down as 5 × 7 × 37, multiplying the primes 5 × 7 × 37.
How is 1295 represented in binary and hexadecimal?
1295 converts to 10100001111 in binary and 50F in hexadecimal, which are helpful for computer science applications.
Is 1295 a perfect square, cube, or triangular number?
1295 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1295?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.