Is 3,479,220 a Prime Number?
No, 3,479,220 is not a prime number
Number Properties
- Value:3,479,220
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101010001011010110100
- Hexadecimal:3516B4
Prime Status
3,479,220 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 5 × 17 × 379
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 27, 30, 34, 36, 45, 51, 54, 60, 68, 85, 90, 102, 108, 135, 153, 170, 180, 204, 255, 270, 306, 340, 379, 459, 510, 540, 612, 758, 765, 918, 1020, 1137, 1516, 1530, 1836, 1895, 2274, 2295, 3060, 3411, 3790, 4548, 4590, 5685, 6443, 6822, 7580, 9180, 10233, 11370, 12886, 13644, 17055, 19329, 20466, 22740, 25772, 32215, 34110, 38658, 40932, 51165, 57987, 64430, 68220, 77316, 96645, 102330, 115974, 128860, 173961, 193290, 204660, 231948, 289935, 347922, 386580, 579870, 695844, 869805, 1159740, 1739610, 3479220
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.