Is 3,448,192 a Prime Number?
No, 3,448,192 is not a prime number
Number Properties
- Value:3,448,192
- Number Type:Even, Positive
- Digit Sum:31
- Total Digits:7
- Binary:1101001001110110000000
- Hexadecimal:349D80
Prime Status
3,448,192 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
27 × 11 × 31 × 79
Divisors
Total divisors: 64
1, 2, 4, 8, 11, 16, 22, 31, 32, 44, 62, 64, 79, 88, 124, 128, 158, 176, 248, 316, 341, 352, 496, 632, 682, 704, 869, 992, 1264, 1364, 1408, 1738, 1984, 2449, 2528, 2728, 3476, 3968, 4898, 5056, 5456, 6952, 9796, 10112, 10912, 13904, 19592, 21824, 26939, 27808, 39184, 43648, 53878, 55616, 78368, 107756, 111232, 156736, 215512, 313472, 431024, 862048, 1724096, 3448192
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.