Is 3,013,164 a Prime Number?
No, 3,013,164 is not a prime number
Number Properties
- Value:3,013,164
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1011011111101000101100
- Hexadecimal:2DFA2C
Prime Status
3,013,164 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 7 × 11 × 1087
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1087, 1386, 2174, 2772, 3261, 4348, 6522, 7609, 9783, 11957, 13044, 15218, 19566, 22827, 23914, 30436, 35871, 39132, 45654, 47828, 68481, 71742, 83699, 91308, 107613, 136962, 143484, 167398, 215226, 251097, 273924, 334796, 430452, 502194, 753291, 1004388, 1506582, 3013164
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.