Is 4,648,990 a Prime Number?
No, 4,648,990 is not a prime number
Number Properties
- Value:4,648,990
- Number Type:Even, Positive
- Digit Sum:40
- Total Digits:7
- Binary:10001101111000000011110
- Hexadecimal:46F01E
Prime Status
4,648,990 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 5 × 17 × 23 × 29 × 41
Divisors
Total divisors: 64
1, 2, 5, 10, 17, 23, 29, 34, 41, 46, 58, 82, 85, 115, 145, 170, 205, 230, 290, 391, 410, 493, 667, 697, 782, 943, 986, 1189, 1334, 1394, 1886, 1955, 2378, 2465, 3335, 3485, 3910, 4715, 4930, 5945, 6670, 6970, 9430, 11339, 11890, 16031, 20213, 22678, 27347, 32062, 40426, 54694, 56695, 80155, 101065, 113390, 136735, 160310, 202130, 273470, 464899, 929798, 2324495, 4648990
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.