Is 3,409,120 a Prime Number?
No, 3,409,120 is not a prime number
Number Properties
- Value:3,409,120
- Number Type:Even, Positive
- Digit Sum:19
- Total Digits:7
- Binary:1101000000010011100000
- Hexadecimal:3404E0
Prime Status
3,409,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 5 × 11 × 13 × 149
Divisors
Total divisors: 96
1, 2, 4, 5, 8, 10, 11, 13, 16, 20, 22, 26, 32, 40, 44, 52, 55, 65, 80, 88, 104, 110, 130, 143, 149, 160, 176, 208, 220, 260, 286, 298, 352, 416, 440, 520, 572, 596, 715, 745, 880, 1040, 1144, 1192, 1430, 1490, 1639, 1760, 1937, 2080, 2288, 2384, 2860, 2980, 3278, 3874, 4576, 4768, 5720, 5960, 6556, 7748, 8195, 9685, 11440, 11920, 13112, 15496, 16390, 19370, 21307, 22880, 23840, 26224, 30992, 32780, 38740, 42614, 52448, 61984, 65560, 77480, 85228, 106535, 131120, 154960, 170456, 213070, 262240, 309920, 340912, 426140, 681824, 852280, 1704560, 3409120
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.