Is 4,091,004 a Prime Number?
No, 4,091,004 is not a prime number
Number Properties
- Value:4,091,004
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1111100110110001111100
- Hexadecimal:3E6C7C
Prime Status
4,091,004 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 19 × 5981
Divisors
Total divisors: 36
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684, 5981, 11962, 17943, 23924, 35886, 53829, 71772, 107658, 113639, 215316, 227278, 340917, 454556, 681834, 1022751, 1363668, 2045502, 4091004
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.