Is 4,376,394 a Prime Number?
No, 4,376,394 is not a prime number
Number Properties
- Value:4,376,394
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:10000101100011101001010
- Hexadecimal:42C74A
Prime Status
4,376,394 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 11 × 23 × 312
Divisors
Total divisors: 72
1, 2, 3, 6, 9, 11, 18, 22, 23, 31, 33, 46, 62, 66, 69, 93, 99, 138, 186, 198, 207, 253, 279, 341, 414, 506, 558, 682, 713, 759, 961, 1023, 1426, 1518, 1922, 2046, 2139, 2277, 2883, 3069, 4278, 4554, 5766, 6138, 6417, 7843, 8649, 10571, 12834, 15686, 17298, 21142, 22103, 23529, 31713, 44206, 47058, 63426, 66309, 70587, 95139, 132618, 141174, 190278, 198927, 243133, 397854, 486266, 729399, 1458798, 2188197, 4376394
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.