Is 3,449,664 a Prime Number?
No, 3,449,664 is not a prime number
Number Properties
- Value:3,449,664
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1101001010001101000000
- Hexadecimal:34A340
Prime Status
3,449,664 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
26 × 32 × 53 × 113
Divisors
Total divisors: 84
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 53, 64, 72, 96, 106, 113, 144, 159, 192, 212, 226, 288, 318, 339, 424, 452, 477, 576, 636, 678, 848, 904, 954, 1017, 1272, 1356, 1696, 1808, 1908, 2034, 2544, 2712, 3392, 3616, 3816, 4068, 5088, 5424, 5989, 7232, 7632, 8136, 10176, 10848, 11978, 15264, 16272, 17967, 21696, 23956, 30528, 32544, 35934, 47912, 53901, 65088, 71868, 95824, 107802, 143736, 191648, 215604, 287472, 383296, 431208, 574944, 862416, 1149888, 1724832, 3449664
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.