Is 3,431,440 a Prime Number?
No, 3,431,440 is not a prime number
Number Properties
- Value:3,431,440
- Number Type:Even, Positive
- Digit Sum:19
- Total Digits:7
- Binary:1101000101110000010000
- Hexadecimal:345C10
Prime Status
3,431,440 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 5 × 59 × 727
Divisors
Total divisors: 40
1, 2, 4, 5, 8, 10, 16, 20, 40, 59, 80, 118, 236, 295, 472, 590, 727, 944, 1180, 1454, 2360, 2908, 3635, 4720, 5816, 7270, 11632, 14540, 29080, 42893, 58160, 85786, 171572, 214465, 343144, 428930, 686288, 857860, 1715720, 3431440
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.