Is 3,006,876 a Prime Number?
No, 3,006,876 is not a prime number
Number Properties
- Value:3,006,876
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1011011110000110011100
- Hexadecimal:2DE19C
Prime Status
3,006,876 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 31 × 59 × 137
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 12, 31, 59, 62, 93, 118, 124, 137, 177, 186, 236, 274, 354, 372, 411, 548, 708, 822, 1644, 1829, 3658, 4247, 5487, 7316, 8083, 8494, 10974, 12741, 16166, 16988, 21948, 24249, 25482, 32332, 48498, 50964, 96996, 250573, 501146, 751719, 1002292, 1503438, 3006876
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.