361
361 is a odd composite number that follows 360 and precedes 362. It is composed of 3 distinct factors: 1, 19, 361. Its prime factorization can be written as 19^2. 361 is classified as a deficient number based on the sum of its proper divisors. In computer science, 361 is represented as 101101001 in binary and 169 in hexadecimal. Historically, it is written as CCCLXI in Roman numerals. It also belongs to the perfect square sequence.
Factor Analysis
3 FactorsProperties
The prime factorization (19^2) reveals 2 prime building blocks.
Divisible by 2
361 ends in 1, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 61 are not divisible by 4.
Divisible by 5
361 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 10 is not a multiple of 9.
Divisible by 10
361 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 361 within several notable number theory sequences:
Timeline
Deep dive
How 361 breaks down
361 carries 3 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 20, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101101001 supports bitwise reasoning, hexadecimal 169 aligns with computing notation, and the Roman numeral CCCLXI keeps the encyclopedic tradition alive. These attributes make 361 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 361 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (356–366) to tune search ranges, and educators feature 361 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, Perfect squares) help historians, numerologists, and trivia writers tie 361 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 361
Is 361 a prime number?
361 is composite with 3 total factors and the prime factorization 19^2.
What is the prime factorization of 361?
It breaks down as 19^2, multiplying the primes 19 × 19.
How is 361 represented in binary and hexadecimal?
361 converts to 101101001 in binary and 169 in hexadecimal, which are helpful for computer science applications.
Is 361 a perfect square, cube, or triangular number?
361 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 361?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.