Is 3,404,148 a Prime Number?
No, 3,404,148 is not a prime number
Number Properties
- Value:3,404,148
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1100111111000101110100
- Hexadecimal:33F174
Prime Status
3,404,148 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 11 × 17 × 37 × 41
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 37, 41, 44, 51, 66, 68, 74, 82, 102, 111, 123, 132, 148, 164, 187, 204, 222, 246, 374, 407, 444, 451, 492, 561, 629, 697, 748, 814, 902, 1122, 1221, 1258, 1353, 1394, 1517, 1628, 1804, 1887, 2091, 2244, 2442, 2516, 2706, 2788, 3034, 3774, 4182, 4551, 4884, 5412, 6068, 6919, 7548, 7667, 8364, 9102, 13838, 15334, 16687, 18204, 20757, 23001, 25789, 27676, 30668, 33374, 41514, 46002, 50061, 51578, 66748, 77367, 83028, 92004, 100122, 103156, 154734, 200244, 283679, 309468, 567358, 851037, 1134716, 1702074, 3404148
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.