1859
1859 is a odd composite number that follows 1858 and precedes 1860. It is composed of 6 distinct factors: 1, 11, 13, 143, 169, 1859. Its prime factorization can be written as 11 × 13^2. 1859 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1859 is represented as 11101000011 in binary and 743 in hexadecimal. Historically, it is written as MDCCCLIX in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (11 × 13^2) reveals 3 prime building blocks.
Divisible by 2
1859 ends in 9, so it is odd.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 59 are not divisible by 4.
Divisible by 5
1859 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 23 is not a multiple of 9.
Divisible by 10
1859 does not end in 0.
Divisible by 11
The alternating digit sum -11 is a multiple of 11.
Deficient classification and digit analytics place 1859 within several notable number theory sequences:
Timeline
Deep dive
How 1859 breaks down
1859 carries 6 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 337, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11101000011 supports bitwise reasoning, hexadecimal 743 aligns with computing notation, and the Roman numeral MDCCCLIX keeps the encyclopedic tradition alive. These attributes make 1859 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1859 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1854–1864) to tune search ranges, and educators feature 1859 in worksheets about factor trees. Its binary footprint of length 11 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 1859 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 1859
Is 1859 a prime number?
1859 is composite with 6 total factors and the prime factorization 11 × 13^2.
What is the prime factorization of 1859?
It breaks down as 11 × 13^2, multiplying the primes 11 × 13 × 13.
How is 1859 represented in binary and hexadecimal?
1859 converts to 11101000011 in binary and 743 in hexadecimal, which are helpful for computer science applications.
Is 1859 a perfect square, cube, or triangular number?
1859 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1859?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.