Is 3,421,040 a Prime Number?
No, 3,421,040 is not a prime number
Number Properties
- Value:3,421,040
- Number Type:Even, Positive
- Digit Sum:14
- Total Digits:7
- Binary:1101000011001101110000
- Hexadecimal:343370
Prime Status
3,421,040 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 5 × 7 × 41 × 149
Divisors
Total divisors: 80
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 41, 56, 70, 80, 82, 112, 140, 149, 164, 205, 280, 287, 298, 328, 410, 560, 574, 596, 656, 745, 820, 1043, 1148, 1192, 1435, 1490, 1640, 2086, 2296, 2384, 2870, 2980, 3280, 4172, 4592, 5215, 5740, 5960, 6109, 8344, 10430, 11480, 11920, 12218, 16688, 20860, 22960, 24436, 30545, 41720, 42763, 48872, 61090, 83440, 85526, 97744, 122180, 171052, 213815, 244360, 342104, 427630, 488720, 684208, 855260, 1710520, 3421040
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.