Is 3,420,090 a Prime Number?
No, 3,420,090 is not a prime number
Number Properties
- Value:3,420,090
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1101000010111110111010
- Hexadecimal:342FBA
Prime Status
3,420,090 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 33 × 5 × 53 × 239
Divisors
Total divisors: 64
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 53, 54, 90, 106, 135, 159, 239, 265, 270, 318, 477, 478, 530, 717, 795, 954, 1195, 1431, 1434, 1590, 2151, 2385, 2390, 2862, 3585, 4302, 4770, 6453, 7155, 7170, 10755, 12667, 12906, 14310, 21510, 25334, 32265, 38001, 63335, 64530, 76002, 114003, 126670, 190005, 228006, 342009, 380010, 570015, 684018, 1140030, 1710045, 3420090
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.