Is 3,438,708 a Prime Number?
No, 3,438,708 is not a prime number
Number Properties
- Value:3,438,708
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1101000111100001110100
- Hexadecimal:347874
Prime Status
3,438,708 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 7 × 13 × 47 × 67
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 47, 52, 67, 78, 84, 91, 94, 134, 141, 156, 182, 188, 201, 268, 273, 282, 329, 364, 402, 469, 546, 564, 611, 658, 804, 871, 938, 987, 1092, 1222, 1316, 1407, 1742, 1833, 1876, 1974, 2444, 2613, 2814, 3149, 3484, 3666, 3948, 4277, 5226, 5628, 6097, 6298, 7332, 8554, 9447, 10452, 12194, 12596, 12831, 17108, 18291, 18894, 22043, 24388, 25662, 36582, 37788, 40937, 44086, 51324, 66129, 73164, 81874, 88172, 122811, 132258, 163748, 245622, 264516, 286559, 491244, 573118, 859677, 1146236, 1719354, 3438708
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.