Is 2,406,474 a Prime Number?
No, 2,406,474 is not a prime number
Number Properties
- Value:2,406,474
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1001001011100001001010
- Hexadecimal:24B84A
Prime Status
2,406,474 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 7 × 71 × 269
Divisors
Total divisors: 48
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 71, 126, 142, 213, 269, 426, 497, 538, 639, 807, 994, 1278, 1491, 1614, 1883, 2421, 2982, 3766, 4473, 4842, 5649, 8946, 11298, 16947, 19099, 33894, 38198, 57297, 114594, 133693, 171891, 267386, 343782, 401079, 802158, 1203237, 2406474
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.