Is 3,441,960 a Prime Number?
No, 3,441,960 is not a prime number
Number Properties
- Value:3,441,960
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101001000010100101000
- Hexadecimal:348528
Prime Status
3,441,960 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 33 × 5 × 3187
Divisors
Total divisors: 64
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080, 3187, 6374, 9561, 12748, 15935, 19122, 25496, 28683, 31870, 38244, 47805, 57366, 63740, 76488, 86049, 95610, 114732, 127480, 143415, 172098, 191220, 229464, 286830, 344196, 382440, 430245, 573660, 688392, 860490, 1147320, 1720980, 3441960
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.