Is 3,437,720 a Prime Number?
No, 3,437,720 is not a prime number
Number Properties
- Value:3,437,720
- Number Type:Even, Positive
- Digit Sum:26
- Total Digits:7
- Binary:1101000111010010011000
- Hexadecimal:347498
Prime Status
3,437,720 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 5 × 11 × 13 × 601
Divisors
Total divisors: 64
1, 2, 4, 5, 8, 10, 11, 13, 20, 22, 26, 40, 44, 52, 55, 65, 88, 104, 110, 130, 143, 220, 260, 286, 440, 520, 572, 601, 715, 1144, 1202, 1430, 2404, 2860, 3005, 4808, 5720, 6010, 6611, 7813, 12020, 13222, 15626, 24040, 26444, 31252, 33055, 39065, 52888, 62504, 66110, 78130, 85943, 132220, 156260, 171886, 264440, 312520, 343772, 429715, 687544, 859430, 1718860, 3437720
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.