890
890 is a even composite number that follows 889 and precedes 891. It is composed of 8 distinct factors: 1, 2, 5, 10, 89, 178, 445, 890. Its prime factorization can be written as 2 × 5 × 89. 890 is classified as a deficient number based on the sum of its proper divisors. In computer science, 890 is represented as 1101111010 in binary and 37A in hexadecimal. Historically, it is written as DCCCXC in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 5 × 89) reveals 3 prime building blocks.
Divisible by 2
890 ends in 0, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
890 ends in 0, 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 17 is not a multiple of 9.
Divisible by 10
890 ends in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 890 within several notable number theory sequences:
Timeline
Deep dive
How 890 breaks down
890 carries 8 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 730, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101111010 supports bitwise reasoning, hexadecimal 37A aligns with computing notation, and the Roman numeral DCCCXC keeps the encyclopedic tradition alive. These attributes make 890 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 890 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (885–895) to tune search ranges, and educators feature 890 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 890 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 890
Is 890 a prime number?
890 is composite with 8 total factors and the prime factorization 2 × 5 × 89.
What is the prime factorization of 890?
It breaks down as 2 × 5 × 89, multiplying the primes 2 × 5 × 89.
How is 890 represented in binary and hexadecimal?
890 converts to 1101111010 in binary and 37A in hexadecimal, which are helpful for computer science applications.
Is 890 a perfect square, cube, or triangular number?
890 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 890?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.