Is 3,425,240 a Prime Number?
No, 3,425,240 is not a prime number
Number Properties
- Value:3,425,240
- Number Type:Even, Positive
- Digit Sum:20
- Total Digits:7
- Binary:1101000100001111011000
- Hexadecimal:3443D8
Prime Status
3,425,240 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 5 × 7 × 13 × 941
Divisors
Total divisors: 64
1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 941, 1820, 1882, 3640, 3764, 4705, 6587, 7528, 9410, 12233, 13174, 18820, 24466, 26348, 32935, 37640, 48932, 52696, 61165, 65870, 85631, 97864, 122330, 131740, 171262, 244660, 263480, 342524, 428155, 489320, 685048, 856310, 1712620, 3425240
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.