Is 488,950 a Prime Number?
No, 488,950 is not a prime number
Number Properties
- Value:488,950
- Number Type:Even, Positive
- Digit Sum:34
- Total Digits:6
- Binary:1110111010111110110
- Hexadecimal:775F6
Prime Status
488,950 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 52 × 7 × 11 × 127
Divisors
Total divisors: 48
1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 50, 55, 70, 77, 110, 127, 154, 175, 254, 275, 350, 385, 550, 635, 770, 889, 1270, 1397, 1778, 1925, 2794, 3175, 3850, 4445, 6350, 6985, 8890, 9779, 13970, 19558, 22225, 34925, 44450, 48895, 69850, 97790, 244475, 488950
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.