Is 496,496 a Prime Number?
No, 496,496 is not a prime number
Number Properties
- Value:496,496
- Number Type:Even, Positive
- Digit Sum:38
- Total Digits:6
- Binary:1111001001101110000
- Hexadecimal:79370
Prime Status
496,496 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 7 × 11 × 13 × 31
Divisors
Total divisors: 80
1, 2, 4, 7, 8, 11, 13, 14, 16, 22, 26, 28, 31, 44, 52, 56, 62, 77, 88, 91, 104, 112, 124, 143, 154, 176, 182, 208, 217, 248, 286, 308, 341, 364, 403, 434, 496, 572, 616, 682, 728, 806, 868, 1001, 1144, 1232, 1364, 1456, 1612, 1736, 2002, 2288, 2387, 2728, 2821, 3224, 3472, 4004, 4433, 4774, 5456, 5642, 6448, 8008, 8866, 9548, 11284, 16016, 17732, 19096, 22568, 31031, 35464, 38192, 45136, 62062, 70928, 124124, 248248, 496496
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.