976
976 is a even composite number that follows 975 and precedes 977. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 61, 122, 244, 488, 976. Its prime factorization can be written as 2^4 × 61. 976 is classified as a deficient number based on the sum of its proper divisors. In computer science, 976 is represented as 1111010000 in binary and 3D0 in hexadecimal. Historically, it is written as CMLXXVI in Roman numerals.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 61) reveals 5 prime building blocks.
Divisible by 2
976 ends in 6, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 76 form a multiple of 4.
Divisible by 5
976 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
976 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 976 within several notable number theory sequences:
Timeline
Deep dive
How 976 breaks down
976 carries 10 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 946, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111010000 supports bitwise reasoning, hexadecimal 3D0 aligns with computing notation, and the Roman numeral CMLXXVI keeps the encyclopedic tradition alive. These attributes make 976 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 976 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (971–981) to tune search ranges, and educators feature 976 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 976 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 976
Is 976 a prime number?
976 is composite with 10 total factors and the prime factorization 2^4 × 61.
What is the prime factorization of 976?
It breaks down as 2^4 × 61, multiplying the primes 2 × 2 × 2 × 2 × 61.
How is 976 represented in binary and hexadecimal?
976 converts to 1111010000 in binary and 3D0 in hexadecimal, which are helpful for computer science applications.
Is 976 a perfect square, cube, or triangular number?
976 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 976?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.