Is 3,998,960 a Prime Number?
No, 3,998,960 is not a prime number
Number Properties
- Value:3,998,960
- Number Type:Even, Positive
- Digit Sum:44
- Total Digits:7
- Binary:1111010000010011110000
- Hexadecimal:3D04F0
Prime Status
3,998,960 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 5 × 7 × 37 × 193
Divisors
Total divisors: 80
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 37, 40, 56, 70, 74, 80, 112, 140, 148, 185, 193, 259, 280, 296, 370, 386, 518, 560, 592, 740, 772, 965, 1036, 1295, 1351, 1480, 1544, 1930, 2072, 2590, 2702, 2960, 3088, 3860, 4144, 5180, 5404, 6755, 7141, 7720, 10360, 10808, 13510, 14282, 15440, 20720, 21616, 27020, 28564, 35705, 49987, 54040, 57128, 71410, 99974, 108080, 114256, 142820, 199948, 249935, 285640, 399896, 499870, 571280, 799792, 999740, 1999480, 3998960
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.