Is 3,834,090 a Prime Number?
No, 3,834,090 is not a prime number
Number Properties
- Value:3,834,090
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1110101000000011101010
- Hexadecimal:3A80EA
Prime Status
3,834,090 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 5 × 13 × 29 × 113
Divisors
Total divisors: 96
1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 29, 30, 39, 45, 58, 65, 78, 87, 90, 113, 117, 130, 145, 174, 195, 226, 234, 261, 290, 339, 377, 390, 435, 522, 565, 585, 678, 754, 870, 1017, 1130, 1131, 1170, 1305, 1469, 1695, 1885, 2034, 2262, 2610, 2938, 3277, 3390, 3393, 3770, 4407, 5085, 5655, 6554, 6786, 7345, 8814, 9831, 10170, 11310, 13221, 14690, 16385, 16965, 19662, 22035, 26442, 29493, 32770, 33930, 42601, 44070, 49155, 58986, 66105, 85202, 98310, 127803, 132210, 147465, 213005, 255606, 294930, 383409, 426010, 639015, 766818, 1278030, 1917045, 3834090
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.