Is 3,378,744 a Prime Number?
No, 3,378,744 is not a prime number
Number Properties
- Value:3,378,744
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1100111000111000111000
- Hexadecimal:338E38
Prime Status
3,378,744 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 167 × 281
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 167, 281, 334, 501, 562, 668, 843, 1002, 1124, 1336, 1503, 1686, 2004, 2248, 2529, 3006, 3372, 4008, 5058, 6012, 6744, 10116, 12024, 20232, 46927, 93854, 140781, 187708, 281562, 375416, 422343, 563124, 844686, 1126248, 1689372, 3378744
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.