Is 4,910,004 a Prime Number?
No, 4,910,004 is not a prime number
Number Properties
- Value:4,910,004
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:10010101110101110110100
- Hexadecimal:4AEBB4
Prime Status
4,910,004 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 11 × 4133
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188, 4133, 8266, 12399, 16532, 24798, 37197, 45463, 49596, 74394, 90926, 111591, 136389, 148788, 181852, 223182, 272778, 409167, 446364, 545556, 818334, 1227501, 1636668, 2455002, 4910004
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.