2659
2659 is a odd prime number that follows 2658 and precedes 2660. As a prime number, 2659 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2659. 2659 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2659 is represented as 101001100011 in binary and A63 in hexadecimal. Historically, it is written as MMDCLIX in Roman numerals.
Factor Analysis
2 FactorsProperties
2659 is prime, so its only factors are 1 and 2659.
Divisible by 2
2659 ends in 9, so it is odd.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 59 are not divisible by 4.
Divisible by 5
2659 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 22 is not a multiple of 9.
Divisible by 10
2659 does not end in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Deficient classification and digit analytics place 2659 within several notable number theory sequences:
Timeline
Deep dive
How 2659 breaks down
2659 carries 2 distinct factors and a digit signature of 22 (4 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 101001100011 supports bitwise reasoning, hexadecimal A63 aligns with computing notation, and the Roman numeral MMDCLIX keeps the encyclopedic tradition alive. These attributes make 2659 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2659 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2654–2664) to tune search ranges, and educators feature 2659 in worksheets about prime identification. Its binary footprint of length 12 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 2659 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 2659
Is 2659 a prime number?
2659 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 2659?
2659 is already prime, so the factorization is simply 2659.
How is 2659 represented in binary and hexadecimal?
2659 converts to 101001100011 in binary and A63 in hexadecimal, which are helpful for computer science applications.
Is 2659 a perfect square, cube, or triangular number?
2659 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2659?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.