Is 3,424,020 a Prime Number?
No, 3,424,020 is not a prime number
Number Properties
- Value:3,424,020
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:7
- Binary:1101000011111100010100
- Hexadecimal:343F14
Prime Status
3,424,020 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 149 × 383
Divisors
Total divisors: 48
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 149, 298, 383, 447, 596, 745, 766, 894, 1149, 1490, 1532, 1788, 1915, 2235, 2298, 2980, 3830, 4470, 4596, 5745, 7660, 8940, 11490, 22980, 57067, 114134, 171201, 228268, 285335, 342402, 570670, 684804, 856005, 1141340, 1712010, 3424020
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.