Is 3,435,740 a Prime Number?
No, 3,435,740 is not a prime number
Number Properties
- Value:3,435,740
- Number Type:Even, Positive
- Digit Sum:26
- Total Digits:7
- Binary:1101000110110011011100
- Hexadecimal:346CDC
Prime Status
3,435,740 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 5 × 7 × 11 × 23 × 97
Divisors
Total divisors: 96
1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 23, 28, 35, 44, 46, 55, 70, 77, 92, 97, 110, 115, 140, 154, 161, 194, 220, 230, 253, 308, 322, 385, 388, 460, 485, 506, 644, 679, 770, 805, 970, 1012, 1067, 1265, 1358, 1540, 1610, 1771, 1940, 2134, 2231, 2530, 2716, 3220, 3395, 3542, 4268, 4462, 5060, 5335, 6790, 7084, 7469, 8855, 8924, 10670, 11155, 13580, 14938, 15617, 17710, 21340, 22310, 24541, 29876, 31234, 35420, 37345, 44620, 49082, 62468, 74690, 78085, 98164, 122705, 149380, 156170, 171787, 245410, 312340, 343574, 490820, 687148, 858935, 1717870, 3435740
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.