Is 488,800 a Prime Number?
No, 488,800 is not a prime number
Number Properties
- Value:488,800
- Number Type:Even, Positive
- Digit Sum:28
- Total Digits:6
- Binary:1110111010101100000
- Hexadecimal:77560
Prime Status
488,800 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 52 × 13 × 47
Divisors
Total divisors: 72
1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 47, 50, 52, 65, 80, 94, 100, 104, 130, 160, 188, 200, 208, 235, 260, 325, 376, 400, 416, 470, 520, 611, 650, 752, 800, 940, 1040, 1175, 1222, 1300, 1504, 1880, 2080, 2350, 2444, 2600, 3055, 3760, 4700, 4888, 5200, 6110, 7520, 9400, 9776, 10400, 12220, 15275, 18800, 19552, 24440, 30550, 37600, 48880, 61100, 97760, 122200, 244400, 488800
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.