Is 3,073,824 a Prime Number?
No, 3,073,824 is not a prime number
Number Properties
- Value:3,073,824
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1011101110011100100000
- Hexadecimal:2EE720
Prime Status
3,073,824 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 32 × 13 × 821
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 821, 936, 1248, 1642, 1872, 2463, 3284, 3744, 4926, 6568, 7389, 9852, 10673, 13136, 14778, 19704, 21346, 26272, 29556, 32019, 39408, 42692, 59112, 64038, 78816, 85384, 96057, 118224, 128076, 170768, 192114, 236448, 256152, 341536, 384228, 512304, 768456, 1024608, 1536912, 3073824
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.