Is 3,682,464 a Prime Number?
No, 3,682,464 is not a prime number
Number Properties
- Value:3,682,464
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1110000011000010100000
- Hexadecimal:3830A0
Prime Status
3,682,464 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 89 × 431
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 89, 96, 178, 267, 356, 431, 534, 712, 862, 1068, 1293, 1424, 1724, 2136, 2586, 2848, 3448, 4272, 5172, 6896, 8544, 10344, 13792, 20688, 38359, 41376, 76718, 115077, 153436, 230154, 306872, 460308, 613744, 920616, 1227488, 1841232, 3682464
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.