Is 4,094,480 a Prime Number?
No, 4,094,480 is not a prime number
Number Properties
- Value:4,094,480
- Number Type:Even, Positive
- Digit Sum:29
- Total Digits:7
- Binary:1111100111101000010000
- Hexadecimal:3E7A10
Prime Status
4,094,480 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 5 × 13 × 31 × 127
Divisors
Total divisors: 80
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 31, 40, 52, 62, 65, 80, 104, 124, 127, 130, 155, 208, 248, 254, 260, 310, 403, 496, 508, 520, 620, 635, 806, 1016, 1040, 1240, 1270, 1612, 1651, 2015, 2032, 2480, 2540, 3224, 3302, 3937, 4030, 5080, 6448, 6604, 7874, 8060, 8255, 10160, 13208, 15748, 16120, 16510, 19685, 26416, 31496, 32240, 33020, 39370, 51181, 62992, 66040, 78740, 102362, 132080, 157480, 204724, 255905, 314960, 409448, 511810, 818896, 1023620, 2047240, 4094480
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.