356
356 is a even composite number that follows 355 and precedes 357. It is composed of 6 distinct factors: 1, 2, 4, 89, 178, 356. Its prime factorization can be written as 2^2 × 89. 356 is classified as a deficient number based on the sum of its proper divisors. In computer science, 356 is represented as 101100100 in binary and 164 in hexadecimal. Historically, it is written as CCCLVI in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 89) reveals 3 prime building blocks.
Divisible by 2
356 ends in 6, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 56 form a multiple of 4.
Divisible by 5
356 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 14 is not a multiple of 9.
Divisible by 10
356 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 356 within several notable number theory sequences:
Timeline
Deep dive
How 356 breaks down
356 carries 6 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 274, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101100100 supports bitwise reasoning, hexadecimal 164 aligns with computing notation, and the Roman numeral CCCLVI keeps the encyclopedic tradition alive. These attributes make 356 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 356 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (351–361) to tune search ranges, and educators feature 356 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 356 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 356
Is 356 a prime number?
356 is composite with 6 total factors and the prime factorization 2^2 × 89.
What is the prime factorization of 356?
It breaks down as 2^2 × 89, multiplying the primes 2 × 2 × 89.
How is 356 represented in binary and hexadecimal?
356 converts to 101100100 in binary and 164 in hexadecimal, which are helpful for computer science applications.
Is 356 a perfect square, cube, or triangular number?
356 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 356?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.