Is 4,993,131 a Prime Number?
No, 4,993,131 is not a prime number
Number Properties
- Value:4,993,131
- Number Type:Odd, Positive
- Digit Sum:30
- Total Digits:7
- Binary:10011000011000001101011
- Hexadecimal:4C306B
Prime Status
4,993,131 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 11 × 13 × 103 × 113
Divisors
Total divisors: 32
1, 3, 11, 13, 33, 39, 103, 113, 143, 309, 339, 429, 1133, 1243, 1339, 1469, 3399, 3729, 4017, 4407, 11639, 14729, 16159, 34917, 44187, 48477, 128029, 151307, 384087, 453921, 1664377, 4993131
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.