35
35 is a odd composite number that follows 34 and precedes 36. It is composed of 4 distinct factors: 1, 5, 7, 35. Its prime factorization can be written as 5 × 7. 35 is classified as a deficient number based on the sum of its proper divisors. In computer science, 35 is represented as 100011 in binary and 23 in hexadecimal. Historically, it is written as XXXV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (5 × 7) reveals 2 prime building blocks.
Divisible by 2
35 ends in 5, so it is odd.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 35 are not divisible by 4.
Divisible by 5
35 ends in 5, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 8 is not a multiple of 9.
Divisible by 10
35 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 35 within several notable number theory sequences:
Timeline
Deep dive
How 35 breaks down
35 carries 4 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 13, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100011 supports bitwise reasoning, hexadecimal 23 aligns with computing notation, and the Roman numeral XXXV keeps the encyclopedic tradition alive. These attributes make 35 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 35 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (30–40) to tune search ranges, and educators feature 35 in worksheets about factor trees. Its binary footprint of length 6 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 35 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 35
Is 35 a prime number?
35 is composite with 4 total factors and the prime factorization 5 × 7.
What is the prime factorization of 35?
It breaks down as 5 × 7, multiplying the primes 5 × 7.
How is 35 represented in binary and hexadecimal?
35 converts to 100011 in binary and 23 in hexadecimal, which are helpful for computer science applications.
Is 35 a perfect square, cube, or triangular number?
35 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 35?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.