359
359 is a odd prime number that follows 358 and precedes 360. As a prime number, 359 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 359. 359 is classified as a deficient number based on the sum of its proper divisors. In computer science, 359 is represented as 101100111 in binary and 167 in hexadecimal. Historically, it is written as CCCLIX in Roman numerals.
Factor Analysis
2 FactorsProperties
359 is prime, so its only factors are 1 and 359.
Divisible by 2
359 ends in 9, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 59 are not divisible by 4.
Divisible by 5
359 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 17 is not a multiple of 9.
Divisible by 10
359 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 359 within several notable number theory sequences:
Timeline
Deep dive
How 359 breaks down
359 carries 2 distinct factors and a digit signature of 17 (8 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 101100111 supports bitwise reasoning, hexadecimal 167 aligns with computing notation, and the Roman numeral CCCLIX keeps the encyclopedic tradition alive. These attributes make 359 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 359 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (354–364) to tune search ranges, and educators feature 359 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 359 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 359
Is 359 a prime number?
359 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 359?
359 is already prime, so the factorization is simply 359.
How is 359 represented in binary and hexadecimal?
359 converts to 101100111 in binary and 167 in hexadecimal, which are helpful for computer science applications.
Is 359 a perfect square, cube, or triangular number?
359 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 359?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.