Is 2,948,064 a Prime Number?
No, 2,948,064 is not a prime number
Number Properties
- Value:2,948,064
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1011001111101111100000
- Hexadecimal:2CFBE0
Prime Status
2,948,064 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 7 × 41 × 107
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 41, 42, 48, 56, 82, 84, 96, 107, 112, 123, 164, 168, 214, 224, 246, 287, 321, 328, 336, 428, 492, 574, 642, 656, 672, 749, 856, 861, 984, 1148, 1284, 1312, 1498, 1712, 1722, 1968, 2247, 2296, 2568, 2996, 3424, 3444, 3936, 4387, 4494, 4592, 5136, 5992, 6888, 8774, 8988, 9184, 10272, 11984, 13161, 13776, 17548, 17976, 23968, 26322, 27552, 30709, 35096, 35952, 52644, 61418, 70192, 71904, 92127, 105288, 122836, 140384, 184254, 210576, 245672, 368508, 421152, 491344, 737016, 982688, 1474032, 2948064
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.