Is 3,478,500 a Prime Number?
No, 3,478,500 is not a prime number
Number Properties
- Value:3,478,500
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101010001001111100100
- Hexadecimal:3513E4
Prime Status
3,478,500 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 53 × 773
Divisors
Total divisors: 72
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 773, 900, 1125, 1500, 1546, 2250, 2319, 3092, 3865, 4500, 4638, 6957, 7730, 9276, 11595, 13914, 15460, 19325, 23190, 27828, 34785, 38650, 46380, 57975, 69570, 77300, 96625, 115950, 139140, 173925, 193250, 231900, 289875, 347850, 386500, 579750, 695700, 869625, 1159500, 1739250, 3478500
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.