Is 3,431,235 a Prime Number?
No, 3,431,235 is not a prime number
Number Properties
- Value:3,431,235
- Number Type:Odd, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1101000101101101000011
- Hexadecimal:345B43
Prime Status
3,431,235 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 5 × 31 × 47 × 157
Divisors
Total divisors: 32
1, 3, 5, 15, 31, 47, 93, 141, 155, 157, 235, 465, 471, 705, 785, 1457, 2355, 4371, 4867, 7285, 7379, 14601, 21855, 22137, 24335, 36895, 73005, 110685, 228749, 686247, 1143745, 3431235
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.