Is 3,497,200 a Prime Number?
No, 3,497,200 is not a prime number
Number Properties
- Value:3,497,200
- Number Type:Even, Positive
- Digit Sum:25
- Total Digits:7
- Binary:1101010101110011110000
- Hexadecimal:355CF0
Prime Status
3,497,200 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 52 × 7 × 1249
Divisors
Total divisors: 60
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1249, 1400, 2498, 2800, 4996, 6245, 8743, 9992, 12490, 17486, 19984, 24980, 31225, 34972, 43715, 49960, 62450, 69944, 87430, 99920, 124900, 139888, 174860, 218575, 249800, 349720, 437150, 499600, 699440, 874300, 1748600, 3497200
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.