Is 4,967,990 a Prime Number?
No, 4,967,990 is not a prime number
Number Properties
- Value:4,967,990
- Number Type:Even, Positive
- Digit Sum:44
- Total Digits:7
- Binary:10010111100111000110110
- Hexadecimal:4BCE36
Prime Status
4,967,990 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 5 × 29 × 37 × 463
Divisors
Total divisors: 32
1, 2, 5, 10, 29, 37, 58, 74, 145, 185, 290, 370, 463, 926, 1073, 2146, 2315, 4630, 5365, 10730, 13427, 17131, 26854, 34262, 67135, 85655, 134270, 171310, 496799, 993598, 2483995, 4967990
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.