Is 4,094,940 a Prime Number?
No, 4,094,940 is not a prime number
Number Properties
- Value:4,094,940
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1111100111101111011100
- Hexadecimal:3E7BDC
Prime Status
4,094,940 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 139 × 491
Divisors
Total divisors: 48
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 491, 556, 695, 834, 982, 1390, 1473, 1668, 1964, 2085, 2455, 2780, 2946, 4170, 4910, 5892, 7365, 8340, 9820, 14730, 29460, 68249, 136498, 204747, 272996, 341245, 409494, 682490, 818988, 1023735, 1364980, 2047470, 4094940
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.