Is 3,500,442 a Prime Number?
No, 3,500,442 is not a prime number
Number Properties
- Value:3,500,442
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1101010110100110011010
- Hexadecimal:35699A
Prime Status
3,500,442 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 33 × 11 × 71 × 83
Divisors
Total divisors: 64
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 71, 83, 99, 142, 166, 198, 213, 249, 297, 426, 498, 594, 639, 747, 781, 913, 1278, 1494, 1562, 1826, 1917, 2241, 2343, 2739, 3834, 4482, 4686, 5478, 5893, 7029, 8217, 11786, 14058, 16434, 17679, 21087, 24651, 35358, 42174, 49302, 53037, 64823, 106074, 129646, 159111, 194469, 318222, 388938, 583407, 1166814, 1750221, 3500442
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.