Is 388,960 a Prime Number?
No, 388,960 is not a prime number
Number Properties
- Value:388,960
- Number Type:Even, Positive
- Digit Sum:34
- Total Digits:6
- Binary:1011110111101100000
- Hexadecimal:5EF60
Prime Status
388,960 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 5 × 11 × 13 × 17
Divisors
Total divisors: 96
1, 2, 4, 5, 8, 10, 11, 13, 16, 17, 20, 22, 26, 32, 34, 40, 44, 52, 55, 65, 68, 80, 85, 88, 104, 110, 130, 136, 143, 160, 170, 176, 187, 208, 220, 221, 260, 272, 286, 340, 352, 374, 416, 440, 442, 520, 544, 572, 680, 715, 748, 880, 884, 935, 1040, 1105, 1144, 1360, 1430, 1496, 1760, 1768, 1870, 2080, 2210, 2288, 2431, 2720, 2860, 2992, 3536, 3740, 4420, 4576, 4862, 5720, 5984, 7072, 7480, 8840, 9724, 11440, 12155, 14960, 17680, 19448, 22880, 24310, 29920, 35360, 38896, 48620, 77792, 97240, 194480, 388960
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.