Is 3,739,424 a Prime Number?
No, 3,739,424 is not a prime number
Number Properties
- Value:3,739,424
- Number Type:Even, Positive
- Digit Sum:32
- Total Digits:7
- Binary:1110010000111100100000
- Hexadecimal:390F20
Prime Status
3,739,424 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 13 × 89 × 101
Divisors
Total divisors: 48
1, 2, 4, 8, 13, 16, 26, 32, 52, 89, 101, 104, 178, 202, 208, 356, 404, 416, 712, 808, 1157, 1313, 1424, 1616, 2314, 2626, 2848, 3232, 4628, 5252, 8989, 9256, 10504, 17978, 18512, 21008, 35956, 37024, 42016, 71912, 116857, 143824, 233714, 287648, 467428, 934856, 1869712, 3739424
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.