Is 3,491,840 a Prime Number?
No, 3,491,840 is not a prime number
Number Properties
- Value:3,491,840
- Number Type:Even, Positive
- Digit Sum:29
- Total Digits:7
- Binary:1101010100100000000000
- Hexadecimal:354800
Prime Status
3,491,840 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
211 × 5 × 11 × 31
Divisors
Total divisors: 96
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 31, 32, 40, 44, 55, 62, 64, 80, 88, 110, 124, 128, 155, 160, 176, 220, 248, 256, 310, 320, 341, 352, 440, 496, 512, 620, 640, 682, 704, 880, 992, 1024, 1240, 1280, 1364, 1408, 1705, 1760, 1984, 2048, 2480, 2560, 2728, 2816, 3410, 3520, 3968, 4960, 5120, 5456, 5632, 6820, 7040, 7936, 9920, 10240, 10912, 11264, 13640, 14080, 15872, 19840, 21824, 22528, 27280, 28160, 31744, 39680, 43648, 54560, 56320, 63488, 79360, 87296, 109120, 112640, 158720, 174592, 218240, 317440, 349184, 436480, 698368, 872960, 1745920, 3491840
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.