Is 3,504,996 a Prime Number?
No, 3,504,996 is not a prime number
Number Properties
- Value:3,504,996
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1101010111101101100100
- Hexadecimal:357B64
Prime Status
3,504,996 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 11 × 53 × 167
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 53, 66, 99, 106, 132, 159, 167, 198, 212, 318, 334, 396, 477, 501, 583, 636, 668, 954, 1002, 1166, 1503, 1749, 1837, 1908, 2004, 2332, 3006, 3498, 3674, 5247, 5511, 6012, 6996, 7348, 8851, 10494, 11022, 16533, 17702, 20988, 22044, 26553, 33066, 35404, 53106, 66132, 79659, 97361, 106212, 159318, 194722, 292083, 318636, 389444, 584166, 876249, 1168332, 1752498, 3504996
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.