874
874 is a even composite number that follows 873 and precedes 875. It is composed of 8 distinct factors: 1, 2, 19, 23, 38, 46, 437, 874. Its prime factorization can be written as 2 × 19 × 23. 874 is classified as a deficient number based on the sum of its proper divisors. In computer science, 874 is represented as 1101101010 in binary and 36A in hexadecimal. Historically, it is written as DCCCLXXIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 19 × 23) reveals 3 prime building blocks.
Divisible by 2
874 ends in 4, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 74 are not divisible by 4.
Divisible by 5
874 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 19 is not a multiple of 9.
Divisible by 10
874 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 874 within several notable number theory sequences:
Timeline
Deep dive
How 874 breaks down
874 carries 8 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 566, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101101010 supports bitwise reasoning, hexadecimal 36A aligns with computing notation, and the Roman numeral DCCCLXXIV keeps the encyclopedic tradition alive. These attributes make 874 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 874 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (869–879) to tune search ranges, and educators feature 874 in worksheets about factor trees. Its binary footprint of length 10 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 874 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 874
Is 874 a prime number?
874 is composite with 8 total factors and the prime factorization 2 × 19 × 23.
What is the prime factorization of 874?
It breaks down as 2 × 19 × 23, multiplying the primes 2 × 19 × 23.
How is 874 represented in binary and hexadecimal?
874 converts to 1101101010 in binary and 36A in hexadecimal, which are helpful for computer science applications.
Is 874 a perfect square, cube, or triangular number?
874 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 874?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.