Is 738,920 a Prime Number?
No, 738,920 is not a prime number
Number Properties
- Value:738,920
- Number Type:Even, Positive
- Digit Sum:29
- Total Digits:6
- Binary:10110100011001101000
- Hexadecimal:B4668
Prime Status
738,920 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 5 × 72 × 13 × 29
Divisors
Total divisors: 96
1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 29, 35, 40, 49, 52, 56, 58, 65, 70, 91, 98, 104, 116, 130, 140, 145, 182, 196, 203, 232, 245, 260, 280, 290, 364, 377, 392, 406, 455, 490, 520, 580, 637, 728, 754, 812, 910, 980, 1015, 1160, 1274, 1421, 1508, 1624, 1820, 1885, 1960, 2030, 2548, 2639, 2842, 3016, 3185, 3640, 3770, 4060, 5096, 5278, 5684, 6370, 7105, 7540, 8120, 10556, 11368, 12740, 13195, 14210, 15080, 18473, 21112, 25480, 26390, 28420, 36946, 52780, 56840, 73892, 92365, 105560, 147784, 184730, 369460, 738920
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.