Is 376,380 a Prime Number?
No, 376,380 is not a prime number
Number Properties
- Value:376,380
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:6
- Binary:1011011111000111100
- Hexadecimal:5BE3C
Prime Status
376,380 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 5 × 17 × 41
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 27, 30, 34, 36, 41, 45, 51, 54, 60, 68, 82, 85, 90, 102, 108, 123, 135, 153, 164, 170, 180, 204, 205, 246, 255, 270, 306, 340, 369, 410, 459, 492, 510, 540, 612, 615, 697, 738, 765, 820, 918, 1020, 1107, 1230, 1394, 1476, 1530, 1836, 1845, 2091, 2214, 2295, 2460, 2788, 3060, 3485, 3690, 4182, 4428, 4590, 5535, 6273, 6970, 7380, 8364, 9180, 10455, 11070, 12546, 13940, 18819, 20910, 22140, 25092, 31365, 37638, 41820, 62730, 75276, 94095, 125460, 188190, 376380
Explore Nearby Primes
Understanding Prime Numbers
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, it has exactly two distinct positive divisors: 1 and itself.
Properties of Prime Numbers
- Every prime number except 2 is odd
- 2 is the only even prime number
- Prime numbers are infinitely many
- Prime numbers become less frequent as they get larger
- The distribution of primes follows patterns studied in number theory
Importance of Prime Numbers
- Foundation of number theory and pure mathematics
- Essential in cryptography and internet security
- Used in hash functions and random number generation
- Applied in error correction codes and data compression
- Helping solve complex problems in computer science
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, ...
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be represented uniquely as a product of prime numbers, making primes the "building blocks" of all natural numbers.