377
377 is a odd composite number that follows 376 and precedes 378. It is composed of 4 distinct factors: 1, 13, 29, 377. Its prime factorization can be written as 13 × 29. 377 is classified as a deficient number based on the sum of its proper divisors. In computer science, 377 is represented as 101111001 in binary and 179 in hexadecimal. Historically, it is written as CCCLXXVII in Roman numerals. It also belongs to the Fibonacci number sequence.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 29) reveals 2 prime building blocks.
Divisible by 2
377 ends in 7, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 77 are not divisible by 4.
Divisible by 5
377 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 17 is not a multiple of 9.
Divisible by 10
377 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 377 within several notable number theory sequences:
Timeline
Deep dive
How 377 breaks down
377 carries 4 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 43, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101111001 supports bitwise reasoning, hexadecimal 179 aligns with computing notation, and the Roman numeral CCCLXXVII keeps the encyclopedic tradition alive. These attributes make 377 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 377 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (372–382) to tune search ranges, and educators feature 377 in worksheets about factor trees. Its binary footprint of length 9 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers, Fibonacci numbers) help historians, numerologists, and trivia writers tie 377 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 377
Is 377 a prime number?
377 is composite with 4 total factors and the prime factorization 13 × 29.
What is the prime factorization of 377?
It breaks down as 13 × 29, multiplying the primes 13 × 29.
How is 377 represented in binary and hexadecimal?
377 converts to 101111001 in binary and 179 in hexadecimal, which are helpful for computer science applications.
Is 377 a perfect square, cube, or triangular number?
377 is not a perfect square, is not a perfect cube, and is not triangular. It also belongs to the Fibonacci sequence.
What are the digit sum and digital root of 377?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.