Is 3,012,009 a Prime Number?
No, 3,012,009 is not a prime number
Number Properties
- Value:3,012,009
- Number Type:Odd, Positive
- Digit Sum:15
- Total Digits:7
- Binary:1011011111010110101001
- Hexadecimal:2DF5A9
Prime Status
3,012,009 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 7 × 11 × 13 × 17 × 59
Divisors
Total divisors: 64
1, 3, 7, 11, 13, 17, 21, 33, 39, 51, 59, 77, 91, 119, 143, 177, 187, 221, 231, 273, 357, 413, 429, 561, 649, 663, 767, 1001, 1003, 1239, 1309, 1547, 1947, 2301, 2431, 3003, 3009, 3927, 4543, 4641, 5369, 7021, 7293, 8437, 11033, 13039, 13629, 16107, 17017, 21063, 25311, 33099, 39117, 51051, 59059, 77231, 91273, 143429, 177177, 231693, 273819, 430287, 1004003, 3012009
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.