Is 2,642,200 a Prime Number?
No, 2,642,200 is not a prime number
Number Properties
- Value:2,642,200
- Number Type:Even, Positive
- Digit Sum:16
- Total Digits:7
- Binary:1010000101000100011000
- Hexadecimal:285118
Prime Status
2,642,200 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 52 × 11 × 1201
Divisors
Total divisors: 48
1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 1100, 1201, 2200, 2402, 4804, 6005, 9608, 12010, 13211, 24020, 26422, 30025, 48040, 52844, 60050, 66055, 105688, 120100, 132110, 240200, 264220, 330275, 528440, 660550, 1321100, 2642200
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.