Is 4,090,016 a Prime Number?
No, 4,090,016 is not a prime number
Number Properties
- Value:4,090,016
- Number Type:Even, Positive
- Digit Sum:20
- Total Digits:7
- Binary:1111100110100010100000
- Hexadecimal:3E68A0
Prime Status
4,090,016 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 7 × 19 × 312
Divisors
Total divisors: 72
1, 2, 4, 7, 8, 14, 16, 19, 28, 31, 32, 38, 56, 62, 76, 112, 124, 133, 152, 217, 224, 248, 266, 304, 434, 496, 532, 589, 608, 868, 961, 992, 1064, 1178, 1736, 1922, 2128, 2356, 3472, 3844, 4123, 4256, 4712, 6727, 6944, 7688, 8246, 9424, 13454, 15376, 16492, 18259, 18848, 26908, 30752, 32984, 36518, 53816, 65968, 73036, 107632, 127813, 131936, 146072, 215264, 255626, 292144, 511252, 584288, 1022504, 2045008, 4090016
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.