Is 3,388,476 a Prime Number?
No, 3,388,476 is not a prime number
Number Properties
- Value:3,388,476
- Number Type:Even, Positive
- Digit Sum:39
- Total Digits:7
- Binary:1100111011010000111100
- Hexadecimal:33B43C
Prime Status
3,388,476 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 7 × 13 × 29 × 107
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 29, 39, 42, 52, 58, 78, 84, 87, 91, 107, 116, 156, 174, 182, 203, 214, 273, 321, 348, 364, 377, 406, 428, 546, 609, 642, 749, 754, 812, 1092, 1131, 1218, 1284, 1391, 1498, 1508, 2247, 2262, 2436, 2639, 2782, 2996, 3103, 4173, 4494, 4524, 5278, 5564, 6206, 7917, 8346, 8988, 9309, 9737, 10556, 12412, 15834, 16692, 18618, 19474, 21721, 29211, 31668, 37236, 38948, 40339, 43442, 58422, 65163, 80678, 86884, 116844, 121017, 130326, 161356, 242034, 260652, 282373, 484068, 564746, 847119, 1129492, 1694238, 3388476
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.