Is 4,002,348 a Prime Number?
No, 4,002,348 is not a prime number
Number Properties
- Value:4,002,348
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1111010001001000101100
- Hexadecimal:3D122C
Prime Status
4,002,348 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 7 × 29 × 31 × 53
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 31, 42, 53, 58, 62, 84, 87, 93, 106, 116, 124, 159, 174, 186, 203, 212, 217, 318, 348, 371, 372, 406, 434, 609, 636, 651, 742, 812, 868, 899, 1113, 1218, 1302, 1484, 1537, 1643, 1798, 2226, 2436, 2604, 2697, 3074, 3286, 3596, 4452, 4611, 4929, 5394, 6148, 6293, 6572, 9222, 9858, 10759, 10788, 11501, 12586, 18444, 18879, 19716, 21518, 23002, 25172, 32277, 34503, 37758, 43036, 46004, 47647, 64554, 69006, 75516, 95294, 129108, 138012, 142941, 190588, 285882, 333529, 571764, 667058, 1000587, 1334116, 2001174, 4002348
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.