Is 3,380,240 a Prime Number?
No, 3,380,240 is not a prime number
Number Properties
- Value:3,380,240
- Number Type:Even, Positive
- Digit Sum:20
- Total Digits:7
- Binary:1100111001010000010000
- Hexadecimal:339410
Prime Status
3,380,240 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 5 × 29 × 31 × 47
Divisors
Total divisors: 80
1, 2, 4, 5, 8, 10, 16, 20, 29, 31, 40, 47, 58, 62, 80, 94, 116, 124, 145, 155, 188, 232, 235, 248, 290, 310, 376, 464, 470, 496, 580, 620, 752, 899, 940, 1160, 1240, 1363, 1457, 1798, 1880, 2320, 2480, 2726, 2914, 3596, 3760, 4495, 5452, 5828, 6815, 7192, 7285, 8990, 10904, 11656, 13630, 14384, 14570, 17980, 21808, 23312, 27260, 29140, 35960, 42253, 54520, 58280, 71920, 84506, 109040, 116560, 169012, 211265, 338024, 422530, 676048, 845060, 1690120, 3380240
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.