Is 3,838,120 a Prime Number?
No, 3,838,120 is not a prime number
Number Properties
- Value:3,838,120
- Number Type:Even, Positive
- Digit Sum:25
- Total Digits:7
- Binary:1110101001000010101000
- Hexadecimal:3A90A8
Prime Status
3,838,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 5 × 112 × 13 × 61
Divisors
Total divisors: 96
1, 2, 4, 5, 8, 10, 11, 13, 20, 22, 26, 40, 44, 52, 55, 61, 65, 88, 104, 110, 121, 122, 130, 143, 220, 242, 244, 260, 286, 305, 440, 484, 488, 520, 572, 605, 610, 671, 715, 793, 968, 1144, 1210, 1220, 1342, 1430, 1573, 1586, 2420, 2440, 2684, 2860, 3146, 3172, 3355, 3965, 4840, 5368, 5720, 6292, 6344, 6710, 7381, 7865, 7930, 8723, 12584, 13420, 14762, 15730, 15860, 17446, 26840, 29524, 31460, 31720, 34892, 36905, 43615, 59048, 62920, 69784, 73810, 87230, 95953, 147620, 174460, 191906, 295240, 348920, 383812, 479765, 767624, 959530, 1919060, 3838120
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.