964
964 is a even composite number that follows 963 and precedes 965. It is composed of 6 distinct factors: 1, 2, 4, 241, 482, 964. Its prime factorization can be written as 2^2 × 241. 964 is classified as a deficient number based on the sum of its proper divisors. In computer science, 964 is represented as 1111000100 in binary and 3C4 in hexadecimal. Historically, it is written as CMLXIV in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 241) reveals 3 prime building blocks.
Divisible by 2
964 ends in 4, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
964 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
964 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 964 within several notable number theory sequences:
Timeline
Deep dive
How 964 breaks down
964 carries 6 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 730, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111000100 supports bitwise reasoning, hexadecimal 3C4 aligns with computing notation, and the Roman numeral CMLXIV keeps the encyclopedic tradition alive. These attributes make 964 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 964 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (959–969) to tune search ranges, and educators feature 964 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 964 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 964
Is 964 a prime number?
964 is composite with 6 total factors and the prime factorization 2^2 × 241.
What is the prime factorization of 964?
It breaks down as 2^2 × 241, multiplying the primes 2 × 2 × 241.
How is 964 represented in binary and hexadecimal?
964 converts to 1111000100 in binary and 3C4 in hexadecimal, which are helpful for computer science applications.
Is 964 a perfect square, cube, or triangular number?
964 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 964?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.