Is 3,423,720 a Prime Number?
No, 3,423,720 is not a prime number
Number Properties
- Value:3,423,720
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1101000011110111101000
- Hexadecimal:343DE8
Prime Status
3,423,720 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 5 × 103 × 277
Divisors
Total divisors: 64
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 103, 120, 206, 277, 309, 412, 515, 554, 618, 824, 831, 1030, 1108, 1236, 1385, 1545, 1662, 2060, 2216, 2472, 2770, 3090, 3324, 4120, 4155, 5540, 6180, 6648, 8310, 11080, 12360, 16620, 28531, 33240, 57062, 85593, 114124, 142655, 171186, 228248, 285310, 342372, 427965, 570620, 684744, 855930, 1141240, 1711860, 3423720
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.