Is 3,454,002 a Prime Number?
No, 3,454,002 is not a prime number
Number Properties
- Value:3,454,002
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1101001011010000110010
- Hexadecimal:34B432
Prime Status
3,454,002 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 36 × 23 × 103
Divisors
Total divisors: 56
1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 103, 138, 162, 206, 207, 243, 309, 414, 486, 618, 621, 729, 927, 1242, 1458, 1854, 1863, 2369, 2781, 3726, 4738, 5562, 5589, 7107, 8343, 11178, 14214, 16686, 16767, 21321, 25029, 33534, 42642, 50058, 63963, 75087, 127926, 150174, 191889, 383778, 575667, 1151334, 1727001, 3454002
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.