1063
1063 is a odd prime number that follows 1062 and precedes 1064. As a prime number, 1063 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 1063. 1063 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1063 is represented as 10000100111 in binary and 427 in hexadecimal. Historically, it is written as MLXIII in Roman numerals.
Factor Analysis
2 FactorsProperties
1063 is prime, so its only factors are 1 and 1063.
Divisible by 2
1063 ends in 3, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 63 are not divisible by 4.
Divisible by 5
1063 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
1063 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 1063 within several notable number theory sequences:
Timeline
Deep dive
How 1063 breaks down
1063 carries 2 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000100111 supports bitwise reasoning, hexadecimal 427 aligns with computing notation, and the Roman numeral MLXIII keeps the encyclopedic tradition alive. These attributes make 1063 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1063 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1058–1068) to tune search ranges, and educators feature 1063 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 1063 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 1063
Is 1063 a prime number?
1063 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 1063?
1063 is already prime, so the factorization is simply 1063.
How is 1063 represented in binary and hexadecimal?
1063 converts to 10000100111 in binary and 427 in hexadecimal, which are helpful for computer science applications.
Is 1063 a perfect square, cube, or triangular number?
1063 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1063?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.