Is 488,000 a Prime Number?
No, 488,000 is not a prime number
Number Properties
- Value:488,000
- Number Type:Even, Positive
- Digit Sum:20
- Total Digits:6
- Binary:1110111001001000000
- Hexadecimal:77240
Prime Status
488,000 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
26 × 53 × 61
Divisors
Total divisors: 56
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 61, 64, 80, 100, 122, 125, 160, 200, 244, 250, 305, 320, 400, 488, 500, 610, 800, 976, 1000, 1220, 1525, 1600, 1952, 2000, 2440, 3050, 3904, 4000, 4880, 6100, 7625, 8000, 9760, 12200, 15250, 19520, 24400, 30500, 48800, 61000, 97600, 122000, 244000, 488000
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.