Is 988,800 a Prime Number?
No, 988,800 is not a prime number
Number Properties
- Value:988,800
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:6
- Binary:11110001011010000000
- Hexadecimal:F1680
Prime Status
988,800 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
27 × 3 × 52 × 103
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 103, 120, 128, 150, 160, 192, 200, 206, 240, 300, 309, 320, 384, 400, 412, 480, 515, 600, 618, 640, 800, 824, 960, 1030, 1200, 1236, 1545, 1600, 1648, 1920, 2060, 2400, 2472, 2575, 3090, 3200, 3296, 4120, 4800, 4944, 5150, 6180, 6592, 7725, 8240, 9600, 9888, 10300, 12360, 13184, 15450, 16480, 19776, 20600, 24720, 30900, 32960, 39552, 41200, 49440, 61800, 65920, 82400, 98880, 123600, 164800, 197760, 247200, 329600, 494400, 988800
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.