Is 3,009,790 a Prime Number?
No, 3,009,790 is not a prime number
Number Properties
- Value:3,009,790
- Number Type:Even, Positive
- Digit Sum:28
- Total Digits:7
- Binary:1011011110110011111110
- Hexadecimal:2DECFE
Prime Status
3,009,790 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 5 × 7 × 19 × 31 × 73
Divisors
Total divisors: 64
1, 2, 5, 7, 10, 14, 19, 31, 35, 38, 62, 70, 73, 95, 133, 146, 155, 190, 217, 266, 310, 365, 434, 511, 589, 665, 730, 1022, 1085, 1178, 1330, 1387, 2170, 2263, 2555, 2774, 2945, 4123, 4526, 5110, 5890, 6935, 8246, 9709, 11315, 13870, 15841, 19418, 20615, 22630, 31682, 41230, 42997, 48545, 79205, 85994, 97090, 158410, 214985, 300979, 429970, 601958, 1504895, 3009790
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.