355
355 is a odd composite number that follows 354 and precedes 356. It is composed of 4 distinct factors: 1, 5, 71, 355. Its prime factorization can be written as 5 × 71. 355 is classified as a deficient number based on the sum of its proper divisors. In computer science, 355 is represented as 101100011 in binary and 163 in hexadecimal. Historically, it is written as CCCLV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (5 × 71) reveals 2 prime building blocks.
Divisible by 2
355 ends in 5, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 55 are not divisible by 4.
Divisible by 5
355 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 13 is not a multiple of 9.
Divisible by 10
355 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 355 within several notable number theory sequences:
Timeline
Deep dive
How 355 breaks down
355 carries 4 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 77, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101100011 supports bitwise reasoning, hexadecimal 163 aligns with computing notation, and the Roman numeral CCCLV keeps the encyclopedic tradition alive. These attributes make 355 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 355 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (350–360) to tune search ranges, and educators feature 355 in worksheets about factor trees. Its binary footprint of length 9 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 355 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 355
Is 355 a prime number?
355 is composite with 4 total factors and the prime factorization 5 × 71.
What is the prime factorization of 355?
It breaks down as 5 × 71, multiplying the primes 5 × 71.
How is 355 represented in binary and hexadecimal?
355 converts to 101100011 in binary and 163 in hexadecimal, which are helpful for computer science applications.
Is 355 a perfect square, cube, or triangular number?
355 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 355?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.