946
946 is a even composite number that follows 945 and precedes 947. It is composed of 8 distinct factors: 1, 2, 11, 22, 43, 86, 473, 946. Its prime factorization can be written as 2 × 11 × 43. 946 is classified as a deficient number based on the sum of its proper divisors. In computer science, 946 is represented as 1110110010 in binary and 3B2 in hexadecimal. Historically, it is written as CMXLVI in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 11 × 43) reveals 3 prime building blocks.
Divisible by 2
946 ends in 6, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 46 are not divisible by 4.
Divisible by 5
946 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 19 is not a multiple of 9.
Divisible by 10
946 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Deficient classification and digit analytics place 946 within several notable number theory sequences:
Timeline
Deep dive
How 946 breaks down
946 carries 8 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 638, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110110010 supports bitwise reasoning, hexadecimal 3B2 aligns with computing notation, and the Roman numeral CMXLVI keeps the encyclopedic tradition alive. These attributes make 946 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 946 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (941–951) to tune search ranges, and educators feature 946 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, Triangular numbers) help historians, numerologists, and trivia writers tie 946 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 946
Is 946 a prime number?
946 is composite with 8 total factors and the prime factorization 2 × 11 × 43.
What is the prime factorization of 946?
It breaks down as 2 × 11 × 43, multiplying the primes 2 × 11 × 43.
How is 946 represented in binary and hexadecimal?
946 converts to 1110110010 in binary and 3B2 in hexadecimal, which are helpful for computer science applications.
Is 946 a perfect square, cube, or triangular number?
946 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 946?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.