1355
1355 is a odd composite number that follows 1354 and precedes 1356. It is composed of 4 distinct factors: 1, 5, 271, 1355. Its prime factorization can be written as 5 × 271. 1355 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1355 is represented as 10101001011 in binary and 54B in hexadecimal. Historically, it is written as MCCCLV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (5 × 271) reveals 2 prime building blocks.
Divisible by 2
1355 ends in 5, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 55 are not divisible by 4.
Divisible by 5
1355 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 14 is not a multiple of 9.
Divisible by 10
1355 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 1355 within several notable number theory sequences:
Timeline
Deep dive
How 1355 breaks down
1355 carries 4 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 277, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10101001011 supports bitwise reasoning, hexadecimal 54B aligns with computing notation, and the Roman numeral MCCCLV keeps the encyclopedic tradition alive. These attributes make 1355 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1355 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1350–1360) to tune search ranges, and educators feature 1355 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 1355 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 1355
Is 1355 a prime number?
1355 is composite with 4 total factors and the prime factorization 5 × 271.
What is the prime factorization of 1355?
It breaks down as 5 × 271, multiplying the primes 5 × 271.
How is 1355 represented in binary and hexadecimal?
1355 converts to 10101001011 in binary and 54B in hexadecimal, which are helpful for computer science applications.
Is 1355 a perfect square, cube, or triangular number?
1355 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1355?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.