Is 3,421,488 a Prime Number?
No, 3,421,488 is not a prime number
Number Properties
- Value:3,421,488
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1101000011010100110000
- Hexadecimal:343530
Prime Status
3,421,488 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 7 × 17 × 599
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 34, 42, 48, 51, 56, 68, 84, 102, 112, 119, 136, 168, 204, 238, 272, 336, 357, 408, 476, 599, 714, 816, 952, 1198, 1428, 1797, 1904, 2396, 2856, 3594, 4193, 4792, 5712, 7188, 8386, 9584, 10183, 12579, 14376, 16772, 20366, 25158, 28752, 30549, 33544, 40732, 50316, 61098, 67088, 71281, 81464, 100632, 122196, 142562, 162928, 201264, 213843, 244392, 285124, 427686, 488784, 570248, 855372, 1140496, 1710744, 3421488
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.