Is 3,431,960 a Prime Number?
No, 3,431,960 is not a prime number
Number Properties
- Value:3,431,960
- Number Type:Even, Positive
- Digit Sum:26
- Total Digits:7
- Binary:1101000101111000011000
- Hexadecimal:345E18
Prime Status
3,431,960 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 5 × 72 × 17 × 103
Divisors
Total divisors: 96
1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 49, 56, 68, 70, 85, 98, 103, 119, 136, 140, 170, 196, 206, 238, 245, 280, 340, 392, 412, 476, 490, 515, 595, 680, 721, 824, 833, 952, 980, 1030, 1190, 1442, 1666, 1751, 1960, 2060, 2380, 2884, 3332, 3502, 3605, 4120, 4165, 4760, 5047, 5768, 6664, 7004, 7210, 8330, 8755, 10094, 12257, 14008, 14420, 16660, 17510, 20188, 24514, 25235, 28840, 33320, 35020, 40376, 49028, 50470, 61285, 70040, 85799, 98056, 100940, 122570, 171598, 201880, 245140, 343196, 428995, 490280, 686392, 857990, 1715980, 3431960
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.