357
357 is a odd composite number that follows 356 and precedes 358. It is composed of 8 distinct factors: 1, 3, 7, 17, 21, 51, 119, 357. Its prime factorization can be written as 3 × 7 × 17. 357 is classified as a deficient number based on the sum of its proper divisors. In computer science, 357 is represented as 101100101 in binary and 165 in hexadecimal. Historically, it is written as CCCLVII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 7 × 17) reveals 3 prime building blocks.
Divisible by 2
357 ends in 7, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 57 are not divisible by 4.
Divisible by 5
357 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 15 is not a multiple of 9.
Divisible by 10
357 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 357 within several notable number theory sequences:
Timeline
Deep dive
How 357 breaks down
357 carries 8 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 219, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101100101 supports bitwise reasoning, hexadecimal 165 aligns with computing notation, and the Roman numeral CCCLVII keeps the encyclopedic tradition alive. These attributes make 357 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 357 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (352–362) to tune search ranges, and educators feature 357 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 357 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 357
Is 357 a prime number?
357 is composite with 8 total factors and the prime factorization 3 × 7 × 17.
What is the prime factorization of 357?
It breaks down as 3 × 7 × 17, multiplying the primes 3 × 7 × 17.
How is 357 represented in binary and hexadecimal?
357 converts to 101100101 in binary and 165 in hexadecimal, which are helpful for computer science applications.
Is 357 a perfect square, cube, or triangular number?
357 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 357?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.