Is 3,421,470 a Prime Number?
No, 3,421,470 is not a prime number
Number Properties
- Value:3,421,470
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1101000011010100011110
- Hexadecimal:34351E
Prime Status
3,421,470 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 5 × 13 × 31 × 283
Divisors
Total divisors: 64
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 31, 39, 62, 65, 78, 93, 130, 155, 186, 195, 283, 310, 390, 403, 465, 566, 806, 849, 930, 1209, 1415, 1698, 2015, 2418, 2830, 3679, 4030, 4245, 6045, 7358, 8490, 8773, 11037, 12090, 17546, 18395, 22074, 26319, 36790, 43865, 52638, 55185, 87730, 110370, 114049, 131595, 228098, 263190, 342147, 570245, 684294, 1140490, 1710735, 3421470
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.