Is 788,424 a Prime Number?
No, 788,424 is not a prime number
Number Properties
- Value:788,424
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:6
- Binary:11000000011111001000
- Hexadecimal:C07C8
Prime Status
788,424 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 7 × 13 × 192
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 19, 21, 24, 26, 28, 38, 39, 42, 52, 56, 57, 76, 78, 84, 91, 104, 114, 133, 152, 156, 168, 182, 228, 247, 266, 273, 312, 361, 364, 399, 456, 494, 532, 546, 722, 728, 741, 798, 988, 1064, 1083, 1092, 1444, 1482, 1596, 1729, 1976, 2166, 2184, 2527, 2888, 2964, 3192, 3458, 4332, 4693, 5054, 5187, 5928, 6916, 7581, 8664, 9386, 10108, 10374, 13832, 14079, 15162, 18772, 20216, 20748, 28158, 30324, 32851, 37544, 41496, 56316, 60648, 65702, 98553, 112632, 131404, 197106, 262808, 394212, 788424
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.