351
351 is a odd composite number that follows 350 and precedes 352. It is composed of 8 distinct factors: 1, 3, 9, 13, 27, 39, 117, 351. Its prime factorization can be written as 3^3 × 13. 351 is classified as a deficient number based on the sum of its proper divisors. In computer science, 351 is represented as 101011111 in binary and 15F in hexadecimal. Historically, it is written as CCCLI in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
8 FactorsProperties
The prime factorization (3^3 × 13) reveals 4 prime building blocks.
Divisible by 2
351 ends in 1, so it is odd.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 51 are not divisible by 4.
Divisible by 5
351 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 9 is a multiple of 9.
Divisible by 10
351 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 351 within several notable number theory sequences:
Timeline
Deep dive
How 351 breaks down
351 carries 8 distinct factors and a digit signature of 9 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 209, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101011111 supports bitwise reasoning, hexadecimal 15F aligns with computing notation, and the Roman numeral CCCLI keeps the encyclopedic tradition alive. These attributes make 351 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 351 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (346–356) to tune search ranges, and educators feature 351 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, Triangular numbers) help historians, numerologists, and trivia writers tie 351 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 351
Is 351 a prime number?
351 is composite with 8 total factors and the prime factorization 3^3 × 13.
What is the prime factorization of 351?
It breaks down as 3^3 × 13, multiplying the primes 3 × 3 × 3 × 13.
How is 351 represented in binary and hexadecimal?
351 converts to 101011111 in binary and 15F in hexadecimal, which are helpful for computer science applications.
Is 351 a perfect square, cube, or triangular number?
351 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 351?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.