Is 4,378,192 a Prime Number?
No, 4,378,192 is not a prime number
Number Properties
- Value:4,378,192
- Number Type:Even, Positive
- Digit Sum:34
- Total Digits:7
- Binary:10000101100111001010000
- Hexadecimal:42CE50
Prime Status
4,378,192 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 7 × 13 × 31 × 97
Divisors
Total divisors: 80
1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 31, 52, 56, 62, 91, 97, 104, 112, 124, 182, 194, 208, 217, 248, 364, 388, 403, 434, 496, 679, 728, 776, 806, 868, 1261, 1358, 1456, 1552, 1612, 1736, 2522, 2716, 2821, 3007, 3224, 3472, 5044, 5432, 5642, 6014, 6448, 8827, 10088, 10864, 11284, 12028, 17654, 20176, 21049, 22568, 24056, 35308, 39091, 42098, 45136, 48112, 70616, 78182, 84196, 141232, 156364, 168392, 273637, 312728, 336784, 547274, 625456, 1094548, 2189096, 4378192
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.