Is 788,800 a Prime Number?
No, 788,800 is not a prime number
Number Properties
- Value:788,800
- Number Type:Even, Positive
- Digit Sum:31
- Total Digits:6
- Binary:11000000100101000000
- Hexadecimal:C0940
Prime Status
788,800 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
26 × 52 × 17 × 29
Divisors
Total divisors: 84
1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 29, 32, 34, 40, 50, 58, 64, 68, 80, 85, 100, 116, 136, 145, 160, 170, 200, 232, 272, 290, 320, 340, 400, 425, 464, 493, 544, 580, 680, 725, 800, 850, 928, 986, 1088, 1160, 1360, 1450, 1600, 1700, 1856, 1972, 2320, 2465, 2720, 2900, 3400, 3944, 4640, 4930, 5440, 5800, 6800, 7888, 9280, 9860, 11600, 12325, 13600, 15776, 19720, 23200, 24650, 27200, 31552, 39440, 46400, 49300, 78880, 98600, 157760, 197200, 394400, 788800
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.