Is 3,426,120 a Prime Number?
No, 3,426,120 is not a prime number
Number Properties
- Value:3,426,120
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1101000100011101001000
- Hexadecimal:344748
Prime Status
3,426,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 5 × 31 × 307
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 31, 36, 40, 45, 60, 62, 72, 90, 93, 120, 124, 155, 180, 186, 248, 279, 307, 310, 360, 372, 465, 558, 614, 620, 744, 921, 930, 1116, 1228, 1240, 1395, 1535, 1842, 1860, 2232, 2456, 2763, 2790, 3070, 3684, 3720, 4605, 5526, 5580, 6140, 7368, 9210, 9517, 11052, 11160, 12280, 13815, 18420, 19034, 22104, 27630, 28551, 36840, 38068, 47585, 55260, 57102, 76136, 85653, 95170, 110520, 114204, 142755, 171306, 190340, 228408, 285510, 342612, 380680, 428265, 571020, 685224, 856530, 1142040, 1713060, 3426120
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.