Is 2,723,000 a Prime Number?
No, 2,723,000 is not a prime number
Number Properties
- Value:2,723,000
- Number Type:Even, Positive
- Digit Sum:14
- Total Digits:7
- Binary:1010011000110010111000
- Hexadecimal:298CB8
Prime Status
2,723,000 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 53 × 7 × 389
Divisors
Total divisors: 64
1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 389, 500, 700, 778, 875, 1000, 1400, 1556, 1750, 1945, 2723, 3112, 3500, 3890, 5446, 7000, 7780, 9725, 10892, 13615, 15560, 19450, 21784, 27230, 38900, 48625, 54460, 68075, 77800, 97250, 108920, 136150, 194500, 272300, 340375, 389000, 544600, 680750, 1361500, 2723000
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.