Is 3,427,788 a Prime Number?
No, 3,427,788 is not a prime number
Number Properties
- Value:3,427,788
- Number Type:Even, Positive
- Digit Sum:39
- Total Digits:7
- Binary:1101000100110111001100
- Hexadecimal:344DCC
Prime Status
3,427,788 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 7 × 13 × 43 × 73
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 43, 52, 73, 78, 84, 86, 91, 129, 146, 156, 172, 182, 219, 258, 273, 292, 301, 364, 438, 511, 516, 546, 559, 602, 876, 903, 949, 1022, 1092, 1118, 1204, 1533, 1677, 1806, 1898, 2044, 2236, 2847, 3066, 3139, 3354, 3612, 3796, 3913, 5694, 6132, 6278, 6643, 6708, 7826, 9417, 11388, 11739, 12556, 13286, 15652, 18834, 19929, 21973, 23478, 26572, 37668, 39858, 40807, 43946, 46956, 65919, 79716, 81614, 87892, 122421, 131838, 163228, 244842, 263676, 285649, 489684, 571298, 856947, 1142596, 1713894, 3427788
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.