Is 3,481,478 a Prime Number?
No, 3,481,478 is not a prime number
Number Properties
- Value:3,481,478
- Number Type:Even, Positive
- Digit Sum:35
- Total Digits:7
- Binary:1101010001111110000110
- Hexadecimal:351F86
Prime Status
3,481,478 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 7 × 11 × 13 × 37 × 47
Divisors
Total divisors: 64
1, 2, 7, 11, 13, 14, 22, 26, 37, 47, 74, 77, 91, 94, 143, 154, 182, 259, 286, 329, 407, 481, 517, 518, 611, 658, 814, 962, 1001, 1034, 1222, 1739, 2002, 2849, 3367, 3478, 3619, 4277, 5291, 5698, 6721, 6734, 7238, 8554, 10582, 12173, 13442, 19129, 22607, 24346, 37037, 38258, 45214, 47047, 74074, 94094, 133903, 158249, 248677, 267806, 316498, 497354, 1740739, 3481478
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.