977
977 is a odd prime number that follows 976 and precedes 978. As a prime number, 977 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 977. 977 is classified as a deficient number based on the sum of its proper divisors. In computer science, 977 is represented as 1111010001 in binary and 3D1 in hexadecimal. Historically, it is written as CMLXXVII in Roman numerals.
Factor Analysis
2 FactorsProperties
977 is prime, so its only factors are 1 and 977.
Divisible by 2
977 ends in 7, so it is odd.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 77 are not divisible by 4.
Divisible by 5
977 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
977 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 977 within several notable number theory sequences:
Timeline
Deep dive
How 977 breaks down
977 carries 2 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111010001 supports bitwise reasoning, hexadecimal 3D1 aligns with computing notation, and the Roman numeral CMLXXVII keeps the encyclopedic tradition alive. These attributes make 977 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 977 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (972–982) to tune search ranges, and educators feature 977 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 977 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 977
Is 977 a prime number?
977 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 977?
977 is already prime, so the factorization is simply 977.
How is 977 represented in binary and hexadecimal?
977 converts to 1111010001 in binary and 3D1 in hexadecimal, which are helpful for computer science applications.
Is 977 a perfect square, cube, or triangular number?
977 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 977?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.