Is 3,418,240 a Prime Number?
No, 3,418,240 is not a prime number
Number Properties
- Value:3,418,240
- Number Type:Even, Positive
- Digit Sum:22
- Total Digits:7
- Binary:1101000010100010000000
- Hexadecimal:342880
Prime Status
3,418,240 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
27 × 5 × 72 × 109
Divisors
Total divisors: 96
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 64, 70, 80, 98, 109, 112, 128, 140, 160, 196, 218, 224, 245, 280, 320, 392, 436, 448, 490, 545, 560, 640, 763, 784, 872, 896, 980, 1090, 1120, 1526, 1568, 1744, 1960, 2180, 2240, 3052, 3136, 3488, 3815, 3920, 4360, 4480, 5341, 6104, 6272, 6976, 7630, 7840, 8720, 10682, 12208, 13952, 15260, 15680, 17440, 21364, 24416, 26705, 30520, 31360, 34880, 42728, 48832, 53410, 61040, 69760, 85456, 97664, 106820, 122080, 170912, 213640, 244160, 341824, 427280, 488320, 683648, 854560, 1709120, 3418240
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.