Is 2,738,340 a Prime Number?
No, 2,738,340 is not a prime number
Number Properties
- Value:2,738,340
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1010011100100010100100
- Hexadecimal:29C8A4
Prime Status
2,738,340 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 5 × 11 × 461
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 90, 99, 108, 110, 132, 135, 165, 180, 198, 220, 270, 297, 330, 396, 461, 495, 540, 594, 660, 922, 990, 1188, 1383, 1485, 1844, 1980, 2305, 2766, 2970, 4149, 4610, 5071, 5532, 5940, 6915, 8298, 9220, 10142, 12447, 13830, 15213, 16596, 20284, 20745, 24894, 25355, 27660, 30426, 41490, 45639, 49788, 50710, 60852, 62235, 76065, 82980, 91278, 101420, 124470, 136917, 152130, 182556, 228195, 248940, 273834, 304260, 456390, 547668, 684585, 912780, 1369170, 2738340
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.