Is 3,880,400 a Prime Number?
No, 3,880,400 is not a prime number
Number Properties
- Value:3,880,400
- Number Type:Even, Positive
- Digit Sum:23
- Total Digits:7
- Binary:1110110011010111010000
- Hexadecimal:3B35D0
Prime Status
3,880,400 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 52 × 89 × 109
Divisors
Total divisors: 60
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 89, 100, 109, 178, 200, 218, 356, 400, 436, 445, 545, 712, 872, 890, 1090, 1424, 1744, 1780, 2180, 2225, 2725, 3560, 4360, 4450, 5450, 7120, 8720, 8900, 9701, 10900, 17800, 19402, 21800, 35600, 38804, 43600, 48505, 77608, 97010, 155216, 194020, 242525, 388040, 485050, 776080, 970100, 1940200, 3880400
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.