Is 1,000,008 a Prime Number?
No, 1,000,008 is not a prime number
Number Properties
- Value:1,000,008
- Number Type:Even, Positive
- Digit Sum:9
- Total Digits:7
- Binary:11110100001001001000
- Hexadecimal:F4248
Prime Status
1,000,008 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 17 × 19 × 43
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 19, 24, 34, 36, 38, 43, 51, 57, 68, 72, 76, 86, 102, 114, 129, 136, 152, 153, 171, 172, 204, 228, 258, 306, 323, 342, 344, 387, 408, 456, 516, 612, 646, 684, 731, 774, 817, 969, 1032, 1224, 1292, 1368, 1462, 1548, 1634, 1938, 2193, 2451, 2584, 2907, 2924, 3096, 3268, 3876, 4386, 4902, 5814, 5848, 6536, 6579, 7353, 7752, 8772, 9804, 11628, 13158, 13889, 14706, 17544, 19608, 23256, 26316, 27778, 29412, 41667, 52632, 55556, 58824, 83334, 111112, 125001, 166668, 250002, 333336, 500004, 1000008
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.