Is 3,482,550 a Prime Number?
No, 3,482,550 is not a prime number
Number Properties
- Value:3,482,550
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101010010001110110110
- Hexadecimal:3523B6
Prime Status
3,482,550 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 52 × 71 × 109
Divisors
Total divisors: 72
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 71, 75, 90, 109, 142, 150, 213, 218, 225, 327, 355, 426, 450, 545, 639, 654, 710, 981, 1065, 1090, 1278, 1635, 1775, 1962, 2130, 2725, 3195, 3270, 3550, 4905, 5325, 5450, 6390, 7739, 8175, 9810, 10650, 15478, 15975, 16350, 23217, 24525, 31950, 38695, 46434, 49050, 69651, 77390, 116085, 139302, 193475, 232170, 348255, 386950, 580425, 696510, 1160850, 1741275, 3482550
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.