Is 3,378,804 a Prime Number?
No, 3,378,804 is not a prime number
Number Properties
- Value:3,378,804
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1100111000111001110100
- Hexadecimal:338E74
Prime Status
3,378,804 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 112 × 13 × 179
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 44, 52, 66, 78, 121, 132, 143, 156, 179, 242, 286, 358, 363, 429, 484, 537, 572, 716, 726, 858, 1074, 1452, 1573, 1716, 1969, 2148, 2327, 3146, 3938, 4654, 4719, 5907, 6292, 6981, 7876, 9308, 9438, 11814, 13962, 18876, 21659, 23628, 25597, 27924, 43318, 51194, 64977, 76791, 86636, 102388, 129954, 153582, 259908, 281567, 307164, 563134, 844701, 1126268, 1689402, 3378804
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.