Is 3,443,076 a Prime Number?
No, 3,443,076 is not a prime number
Number Properties
- Value:3,443,076
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101001000100110000100
- Hexadecimal:348984
Prime Status
3,443,076 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 7 × 13 × 1051
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 28, 36, 39, 42, 52, 63, 78, 84, 91, 117, 126, 156, 182, 234, 252, 273, 364, 468, 546, 819, 1051, 1092, 1638, 2102, 3153, 3276, 4204, 6306, 7357, 9459, 12612, 13663, 14714, 18918, 22071, 27326, 29428, 37836, 40989, 44142, 54652, 66213, 81978, 88284, 95641, 122967, 132426, 163956, 191282, 245934, 264852, 286923, 382564, 491868, 573846, 860769, 1147692, 1721538, 3443076
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.