Is 3,409,740 a Prime Number?
No, 3,409,740 is not a prime number
Number Properties
- Value:3,409,740
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000000011101001100
- Hexadecimal:34074C
Prime Status
3,409,740 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 5 × 19 × 997
Divisors
Total divisors: 72
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 30, 36, 38, 45, 57, 60, 76, 90, 95, 114, 171, 180, 190, 228, 285, 342, 380, 570, 684, 855, 997, 1140, 1710, 1994, 2991, 3420, 3988, 4985, 5982, 8973, 9970, 11964, 14955, 17946, 18943, 19940, 29910, 35892, 37886, 44865, 56829, 59820, 75772, 89730, 94715, 113658, 170487, 179460, 189430, 227316, 284145, 340974, 378860, 568290, 681948, 852435, 1136580, 1704870, 3409740
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.