2759
2759 is a odd composite number that follows 2758 and precedes 2760. It is composed of 4 distinct factors: 1, 31, 89, 2759. Its prime factorization can be written as 31 × 89. 2759 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2759 is represented as 101011000111 in binary and AC7 in hexadecimal. Historically, it is written as MMDCCLIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (31 × 89) reveals 2 prime building blocks.
Divisible by 2
2759 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
2759 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
2759 does not end in 0.
Divisible by 11
The alternating digit sum -9 is not a multiple of 11.
Deficient classification and digit analytics place 2759 within several notable number theory sequences:
Timeline
Deep dive
How 2759 breaks down
2759 carries 4 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 121, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101011000111 supports bitwise reasoning, hexadecimal AC7 aligns with computing notation, and the Roman numeral MMDCCLIX keeps the encyclopedic tradition alive. These attributes make 2759 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2759 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2754–2764) to tune search ranges, and educators feature 2759 in worksheets about factor trees. 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 (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 2759 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 2759
Is 2759 a prime number?
2759 is composite with 4 total factors and the prime factorization 31 × 89.
What is the prime factorization of 2759?
It breaks down as 31 × 89, multiplying the primes 31 × 89.
How is 2759 represented in binary and hexadecimal?
2759 converts to 101011000111 in binary and AC7 in hexadecimal, which are helpful for computer science applications.
Is 2759 a perfect square, cube, or triangular number?
2759 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2759?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.