Is 4,090,164 a Prime Number?
No, 4,090,164 is not a prime number
Number Properties
- Value:4,090,164
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1111100110100100110100
- Hexadecimal:3E6934
Prime Status
4,090,164 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 13 × 157 × 167
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 157, 167, 314, 334, 471, 501, 628, 668, 942, 1002, 1884, 2004, 2041, 2171, 4082, 4342, 6123, 6513, 8164, 8684, 12246, 13026, 24492, 26052, 26219, 52438, 78657, 104876, 157314, 314628, 340847, 681694, 1022541, 1363388, 2045082, 4090164
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.