Is 4,006,998 a Prime Number?
No, 4,006,998 is not a prime number
Number Properties
- Value:4,006,998
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1111010010010001010110
- Hexadecimal:3D2456
Prime Status
4,006,998 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 31 × 43 × 167
Divisors
Total divisors: 48
1, 2, 3, 6, 9, 18, 31, 43, 62, 86, 93, 129, 167, 186, 258, 279, 334, 387, 501, 558, 774, 1002, 1333, 1503, 2666, 3006, 3999, 5177, 7181, 7998, 10354, 11997, 14362, 15531, 21543, 23994, 31062, 43086, 46593, 64629, 93186, 129258, 222611, 445222, 667833, 1335666, 2003499, 4006998
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.