Is 3,425,460 a Prime Number?
No, 3,425,460 is not a prime number
Number Properties
- Value:3,425,460
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1101000100010010110100
- Hexadecimal:3444B4
Prime Status
3,425,460 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 37 × 1543
Divisors
Total divisors: 48
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110, 1543, 2220, 3086, 4629, 6172, 7715, 9258, 15430, 18516, 23145, 30860, 46290, 57091, 92580, 114182, 171273, 228364, 285455, 342546, 570910, 685092, 856365, 1141820, 1712730, 3425460
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.