Is 3,437,440 a Prime Number?
No, 3,437,440 is not a prime number
Number Properties
- Value:3,437,440
- Number Type:Even, Positive
- Digit Sum:25
- Total Digits:7
- Binary:1101000111001110000000
- Hexadecimal:347380
Prime Status
3,437,440 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
27 × 5 × 41 × 131
Divisors
Total divisors: 64
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 64, 80, 82, 128, 131, 160, 164, 205, 262, 320, 328, 410, 524, 640, 655, 656, 820, 1048, 1310, 1312, 1640, 2096, 2620, 2624, 3280, 4192, 5240, 5248, 5371, 6560, 8384, 10480, 10742, 13120, 16768, 20960, 21484, 26240, 26855, 41920, 42968, 53710, 83840, 85936, 107420, 171872, 214840, 343744, 429680, 687488, 859360, 1718720, 3437440
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.