Is 3,742,550 a Prime Number?
No, 3,742,550 is not a prime number
Number Properties
- Value:3,742,550
- Number Type:Even, Positive
- Digit Sum:26
- Total Digits:7
- Binary:1110010001101101010110
- Hexadecimal:391B56
Prime Status
3,742,550 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 52 × 7 × 172 × 37
Divisors
Total divisors: 72
1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 37, 50, 70, 74, 85, 119, 170, 175, 185, 238, 259, 289, 350, 370, 425, 518, 578, 595, 629, 850, 925, 1190, 1258, 1295, 1445, 1850, 2023, 2590, 2890, 2975, 3145, 4046, 4403, 5950, 6290, 6475, 7225, 8806, 10115, 10693, 12950, 14450, 15725, 20230, 21386, 22015, 31450, 44030, 50575, 53465, 74851, 101150, 106930, 110075, 149702, 220150, 267325, 374255, 534650, 748510, 1871275, 3742550
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.