959
959 is a odd composite number that follows 958 and precedes 960. It is composed of 4 distinct factors: 1, 7, 137, 959. Its prime factorization can be written as 7 × 137. 959 is classified as a deficient number based on the sum of its proper divisors. In computer science, 959 is represented as 1110111111 in binary and 3BF in hexadecimal. Historically, it is written as CMLIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (7 × 137) reveals 2 prime building blocks.
Divisible by 2
959 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
959 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
959 does not end in 0.
Divisible by 11
The alternating digit sum 13 is not a multiple of 11.
Deficient classification and digit analytics place 959 within several notable number theory sequences:
Timeline
Deep dive
How 959 breaks down
959 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 145, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110111111 supports bitwise reasoning, hexadecimal 3BF aligns with computing notation, and the Roman numeral CMLIX keeps the encyclopedic tradition alive. These attributes make 959 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 959 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (954–964) to tune search ranges, and educators feature 959 in worksheets about factor trees. Its binary footprint of length 10 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 959 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 959
Is 959 a prime number?
959 is composite with 4 total factors and the prime factorization 7 × 137.
What is the prime factorization of 959?
It breaks down as 7 × 137, multiplying the primes 7 × 137.
How is 959 represented in binary and hexadecimal?
959 converts to 1110111111 in binary and 3BF in hexadecimal, which are helpful for computer science applications.
Is 959 a perfect square, cube, or triangular number?
959 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 959?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.