Is 3,424,140 a Prime Number?
No, 3,424,140 is not a prime number
Number Properties
- Value:3,424,140
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1101000011111110001100
- Hexadecimal:343F8C
Prime Status
3,424,140 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 5 × 17 × 373
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 27, 30, 34, 36, 45, 51, 54, 60, 68, 85, 90, 102, 108, 135, 153, 170, 180, 204, 255, 270, 306, 340, 373, 459, 510, 540, 612, 746, 765, 918, 1020, 1119, 1492, 1530, 1836, 1865, 2238, 2295, 3060, 3357, 3730, 4476, 4590, 5595, 6341, 6714, 7460, 9180, 10071, 11190, 12682, 13428, 16785, 19023, 20142, 22380, 25364, 31705, 33570, 38046, 40284, 50355, 57069, 63410, 67140, 76092, 95115, 100710, 114138, 126820, 171207, 190230, 201420, 228276, 285345, 342414, 380460, 570690, 684828, 856035, 1141380, 1712070, 3424140
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.