Is 3,490,500 a Prime Number?
No, 3,490,500 is not a prime number
Number Properties
- Value:3,490,500
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1101010100001011000100
- Hexadecimal:3542C4
Prime Status
3,490,500 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 53 × 13 × 179
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 125, 130, 150, 156, 179, 195, 250, 260, 300, 325, 358, 375, 390, 500, 537, 650, 716, 750, 780, 895, 975, 1074, 1300, 1500, 1625, 1790, 1950, 2148, 2327, 2685, 3250, 3580, 3900, 4475, 4654, 4875, 5370, 6500, 6981, 8950, 9308, 9750, 10740, 11635, 13425, 13962, 17900, 19500, 22375, 23270, 26850, 27924, 34905, 44750, 46540, 53700, 58175, 67125, 69810, 89500, 116350, 134250, 139620, 174525, 232700, 268500, 290875, 349050, 581750, 698100, 872625, 1163500, 1745250, 3490500
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.