Is 3,494,010 a Prime Number?
No, 3,494,010 is not a prime number
Number Properties
- Value:3,494,010
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1101010101000001111010
- Hexadecimal:35507A
Prime Status
3,494,010 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 5 × 13 × 172 × 31
Divisors
Total divisors: 96
1, 2, 3, 5, 6, 10, 13, 15, 17, 26, 30, 31, 34, 39, 51, 62, 65, 78, 85, 93, 102, 130, 155, 170, 186, 195, 221, 255, 289, 310, 390, 403, 442, 465, 510, 527, 578, 663, 806, 867, 930, 1054, 1105, 1209, 1326, 1445, 1581, 1734, 2015, 2210, 2418, 2635, 2890, 3162, 3315, 3757, 4030, 4335, 5270, 6045, 6630, 6851, 7514, 7905, 8670, 8959, 11271, 12090, 13702, 15810, 17918, 18785, 20553, 22542, 26877, 34255, 37570, 41106, 44795, 53754, 56355, 68510, 89590, 102765, 112710, 116467, 134385, 205530, 232934, 268770, 349401, 582335, 698802, 1164670, 1747005, 3494010
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.