Is 3,480,420 a Prime Number?
No, 3,480,420 is not a prime number
Number Properties
- Value:3,480,420
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1101010001101101100100
- Hexadecimal:351B64
Prime Status
3,480,420 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 19 × 43 × 71
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 43, 57, 60, 71, 76, 86, 95, 114, 129, 142, 172, 190, 213, 215, 228, 258, 284, 285, 355, 380, 426, 430, 516, 570, 645, 710, 817, 852, 860, 1065, 1140, 1290, 1349, 1420, 1634, 2130, 2451, 2580, 2698, 3053, 3268, 4047, 4085, 4260, 4902, 5396, 6106, 6745, 8094, 8170, 9159, 9804, 12212, 12255, 13490, 15265, 16188, 16340, 18318, 20235, 24510, 26980, 30530, 36636, 40470, 45795, 49020, 58007, 61060, 80940, 91590, 116014, 174021, 183180, 232028, 290035, 348042, 580070, 696084, 870105, 1160140, 1740210, 3480420
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.