Is 3,694,740 a Prime Number?
No, 3,694,740 is not a prime number
Number Properties
- Value:3,694,740
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1110000110000010010100
- Hexadecimal:386094
Prime Status
3,694,740 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 7 × 19 × 463
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 463, 532, 570, 665, 798, 926, 1140, 1330, 1389, 1596, 1852, 1995, 2315, 2660, 2778, 3241, 3990, 4630, 5556, 6482, 6945, 7980, 8797, 9260, 9723, 12964, 13890, 16205, 17594, 19446, 26391, 27780, 32410, 35188, 38892, 43985, 48615, 52782, 61579, 64820, 87970, 97230, 105564, 123158, 131955, 175940, 184737, 194460, 246316, 263910, 307895, 369474, 527820, 615790, 738948, 923685, 1231580, 1847370, 3694740
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.