Is 3,378,690 a Prime Number?
No, 3,378,690 is not a prime number
Number Properties
- Value:3,378,690
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1100111000111000000010
- Hexadecimal:338E02
Prime Status
3,378,690 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 5 × 7 × 31 × 173
Divisors
Total divisors: 96
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 31, 35, 42, 45, 62, 63, 70, 90, 93, 105, 126, 155, 173, 186, 210, 217, 279, 310, 315, 346, 434, 465, 519, 558, 630, 651, 865, 930, 1038, 1085, 1211, 1302, 1395, 1557, 1730, 1953, 2170, 2422, 2595, 2790, 3114, 3255, 3633, 3906, 5190, 5363, 6055, 6510, 7266, 7785, 9765, 10726, 10899, 12110, 15570, 16089, 18165, 19530, 21798, 26815, 32178, 36330, 37541, 48267, 53630, 54495, 75082, 80445, 96534, 108990, 112623, 160890, 187705, 225246, 241335, 337869, 375410, 482670, 563115, 675738, 1126230, 1689345, 3378690
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.