1027
1027 is a odd composite number that follows 1026 and precedes 1028. It is composed of 4 distinct factors: 1, 13, 79, 1027. Its prime factorization can be written as 13 × 79. 1027 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1027 is represented as 10000000011 in binary and 403 in hexadecimal. Historically, it is written as MXXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 79) reveals 2 prime building blocks.
Divisible by 2
1027 ends in 7, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 27 are not divisible by 4.
Divisible by 5
1027 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 10 is not a multiple of 9.
Divisible by 10
1027 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 1027 within several notable number theory sequences:
Timeline
Deep dive
How 1027 breaks down
1027 carries 4 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 93, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000000011 supports bitwise reasoning, hexadecimal 403 aligns with computing notation, and the Roman numeral MXXVII keeps the encyclopedic tradition alive. These attributes make 1027 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1027 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1022–1032) to tune search ranges, and educators feature 1027 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 1027 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 1027
Is 1027 a prime number?
1027 is composite with 4 total factors and the prime factorization 13 × 79.
What is the prime factorization of 1027?
It breaks down as 13 × 79, multiplying the primes 13 × 79.
How is 1027 represented in binary and hexadecimal?
1027 converts to 10000000011 in binary and 403 in hexadecimal, which are helpful for computer science applications.
Is 1027 a perfect square, cube, or triangular number?
1027 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1027?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.