Is 3,423,480 a Prime Number?
No, 3,423,480 is not a prime number
Number Properties
- Value:3,423,480
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1101000011110011111000
- Hexadecimal:343CF8
Prime Status
3,423,480 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 5 × 47 × 607
Divisors
Total divisors: 64
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 607, 705, 940, 1128, 1214, 1410, 1821, 1880, 2428, 2820, 3035, 3642, 4856, 5640, 6070, 7284, 9105, 12140, 14568, 18210, 24280, 28529, 36420, 57058, 72840, 85587, 114116, 142645, 171174, 228232, 285290, 342348, 427935, 570580, 684696, 855870, 1141160, 1711740, 3423480
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.