Is 3,795,090 a Prime Number?
No, 3,795,090 is not a prime number
Number Properties
- Value:3,795,090
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1110011110100010010010
- Hexadecimal:39E892
Prime Status
3,795,090 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 5 × 13 × 37 × 263
Divisors
Total divisors: 64
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 37, 39, 65, 74, 78, 111, 130, 185, 195, 222, 263, 370, 390, 481, 526, 555, 789, 962, 1110, 1315, 1443, 1578, 2405, 2630, 2886, 3419, 3945, 4810, 6838, 7215, 7890, 9731, 10257, 14430, 17095, 19462, 20514, 29193, 34190, 48655, 51285, 58386, 97310, 102570, 126503, 145965, 253006, 291930, 379509, 632515, 759018, 1265030, 1897545, 3795090
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.