Is 3,359,472 a Prime Number?
No, 3,359,472 is not a prime number
Number Properties
- Value:3,359,472
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1100110100001011110000
- Hexadecimal:3342F0
Prime Status
3,359,472 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 17 × 23 × 179
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 8, 12, 16, 17, 23, 24, 34, 46, 48, 51, 68, 69, 92, 102, 136, 138, 179, 184, 204, 272, 276, 358, 368, 391, 408, 537, 552, 716, 782, 816, 1074, 1104, 1173, 1432, 1564, 2148, 2346, 2864, 3043, 3128, 4117, 4296, 4692, 6086, 6256, 8234, 8592, 9129, 9384, 12172, 12351, 16468, 18258, 18768, 24344, 24702, 32936, 36516, 48688, 49404, 65872, 69989, 73032, 98808, 139978, 146064, 197616, 209967, 279956, 419934, 559912, 839868, 1119824, 1679736, 3359472
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.