Is 3,429,036 a Prime Number?
No, 3,429,036 is not a prime number
Number Properties
- Value:3,429,036
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000101001010101100
- Hexadecimal:3452AC
Prime Status
3,429,036 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 13 × 17 × 431
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 34, 36, 39, 51, 52, 68, 78, 102, 117, 153, 156, 204, 221, 234, 306, 431, 442, 468, 612, 663, 862, 884, 1293, 1326, 1724, 1989, 2586, 2652, 3879, 3978, 5172, 5603, 7327, 7758, 7956, 11206, 14654, 15516, 16809, 21981, 22412, 29308, 33618, 43962, 50427, 65943, 67236, 87924, 95251, 100854, 131886, 190502, 201708, 263772, 285753, 381004, 571506, 857259, 1143012, 1714518, 3429036
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.