Is 3,427,320 a Prime Number?
No, 3,427,320 is not a prime number
Number Properties
- Value:3,427,320
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1101000100101111111000
- Hexadecimal:344BF8
Prime Status
3,427,320 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 5 × 134
Divisors
Total divisors: 80
1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 169, 195, 260, 312, 338, 390, 507, 520, 676, 780, 845, 1014, 1352, 1560, 1690, 2028, 2197, 2535, 3380, 4056, 4394, 5070, 6591, 6760, 8788, 10140, 10985, 13182, 17576, 20280, 21970, 26364, 28561, 32955, 43940, 52728, 57122, 65910, 85683, 87880, 114244, 131820, 142805, 171366, 228488, 263640, 285610, 342732, 428415, 571220, 685464, 856830, 1142440, 1713660, 3427320
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.