Is 3,009,006 a Prime Number?
No, 3,009,006 is not a prime number
Number Properties
- Value:3,009,006
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1011011110100111101110
- Hexadecimal:2DE9EE
Prime Status
3,009,006 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 7 × 11 × 13 × 167
Divisors
Total divisors: 96
1, 2, 3, 6, 7, 9, 11, 13, 14, 18, 21, 22, 26, 33, 39, 42, 63, 66, 77, 78, 91, 99, 117, 126, 143, 154, 167, 182, 198, 231, 234, 273, 286, 334, 429, 462, 501, 546, 693, 819, 858, 1001, 1002, 1169, 1287, 1386, 1503, 1638, 1837, 2002, 2171, 2338, 2574, 3003, 3006, 3507, 3674, 4342, 5511, 6006, 6513, 7014, 9009, 10521, 11022, 12859, 13026, 15197, 16533, 18018, 19539, 21042, 23881, 25718, 30394, 33066, 38577, 39078, 45591, 47762, 71643, 77154, 91182, 115731, 136773, 143286, 167167, 214929, 231462, 273546, 334334, 429858, 501501, 1003002, 1504503, 3009006
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.