Is 4,940,320 a Prime Number?
No, 4,940,320 is not a prime number
Number Properties
- Value:4,940,320
- Number Type:Even, Positive
- Digit Sum:22
- Total Digits:7
- Binary:10010110110001000100000
- Hexadecimal:4B6220
Prime Status
4,940,320 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 5 × 7 × 11 × 401
Divisors
Total divisors: 96
1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 32, 35, 40, 44, 55, 56, 70, 77, 80, 88, 110, 112, 140, 154, 160, 176, 220, 224, 280, 308, 352, 385, 401, 440, 560, 616, 770, 802, 880, 1120, 1232, 1540, 1604, 1760, 2005, 2464, 2807, 3080, 3208, 4010, 4411, 5614, 6160, 6416, 8020, 8822, 11228, 12320, 12832, 14035, 16040, 17644, 22055, 22456, 28070, 30877, 32080, 35288, 44110, 44912, 56140, 61754, 64160, 70576, 88220, 89824, 112280, 123508, 141152, 154385, 176440, 224560, 247016, 308770, 352880, 449120, 494032, 617540, 705760, 988064, 1235080, 2470160, 4940320
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.