353
353 is a odd prime number that follows 352 and precedes 354. As a prime number, 353 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 353. 353 is classified as a deficient number based on the sum of its proper divisors. In computer science, 353 is represented as 101100001 in binary and 161 in hexadecimal. Historically, it is written as CCCLIII in Roman numerals.
Factor Analysis
2 FactorsProperties
353 is prime, so its only factors are 1 and 353.
Divisible by 2
353 ends in 3, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 53 are not divisible by 4.
Divisible by 5
353 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 11 is not a multiple of 9.
Divisible by 10
353 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 353 within several notable number theory sequences:
Timeline
Deep dive
How 353 breaks down
353 carries 2 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101100001 supports bitwise reasoning, hexadecimal 161 aligns with computing notation, and the Roman numeral CCCLIII keeps the encyclopedic tradition alive. These attributes make 353 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 353 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (348–358) to tune search ranges, and educators feature 353 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 353 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 353
Is 353 a prime number?
353 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 353?
353 is already prime, so the factorization is simply 353.
How is 353 represented in binary and hexadecimal?
353 converts to 101100001 in binary and 161 in hexadecimal, which are helpful for computer science applications.
Is 353 a perfect square, cube, or triangular number?
353 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 353?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.