Is 488,640 a Prime Number?
No, 488,640 is not a prime number
Number Properties
- Value:488,640
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:6
- Binary:1110111010011000000
- Hexadecimal:774C0
Prime Status
488,640 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
26 × 3 × 5 × 509
Divisors
Total divisors: 56
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 509, 960, 1018, 1527, 2036, 2545, 3054, 4072, 5090, 6108, 7635, 8144, 10180, 12216, 15270, 16288, 20360, 24432, 30540, 32576, 40720, 48864, 61080, 81440, 97728, 122160, 162880, 244320, 488640
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.