Is 4,990,008 a Prime Number?
No, 4,990,008 is not a prime number
Number Properties
- Value:4,990,008
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:10011000010010000111000
- Hexadecimal:4C2438
Prime Status
4,990,008 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 19 × 31 × 353
Divisors
Total divisors: 64
1, 2, 3, 4, 6, 8, 12, 19, 24, 31, 38, 57, 62, 76, 93, 114, 124, 152, 186, 228, 248, 353, 372, 456, 589, 706, 744, 1059, 1178, 1412, 1767, 2118, 2356, 2824, 3534, 4236, 4712, 6707, 7068, 8472, 10943, 13414, 14136, 20121, 21886, 26828, 32829, 40242, 43772, 53656, 65658, 80484, 87544, 131316, 160968, 207917, 262632, 415834, 623751, 831668, 1247502, 1663336, 2495004, 4990008
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.