Is 3,729,440 a Prime Number?
No, 3,729,440 is not a prime number
Number Properties
- Value:3,729,440
- Number Type:Even, Positive
- Digit Sum:29
- Total Digits:7
- Binary:1110001110100000100000
- Hexadecimal:38E820
Prime Status
3,729,440 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 5 × 11 × 13 × 163
Divisors
Total divisors: 96
1, 2, 4, 5, 8, 10, 11, 13, 16, 20, 22, 26, 32, 40, 44, 52, 55, 65, 80, 88, 104, 110, 130, 143, 160, 163, 176, 208, 220, 260, 286, 326, 352, 416, 440, 520, 572, 652, 715, 815, 880, 1040, 1144, 1304, 1430, 1630, 1760, 1793, 2080, 2119, 2288, 2608, 2860, 3260, 3586, 4238, 4576, 5216, 5720, 6520, 7172, 8476, 8965, 10595, 11440, 13040, 14344, 16952, 17930, 21190, 22880, 23309, 26080, 28688, 33904, 35860, 42380, 46618, 57376, 67808, 71720, 84760, 93236, 116545, 143440, 169520, 186472, 233090, 286880, 339040, 372944, 466180, 745888, 932360, 1864720, 3729440
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.