Is 3,042,960 a Prime Number?
No, 3,042,960 is not a prime number
Number Properties
- Value:3,042,960
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1011100110111010010000
- Hexadecimal:2E6E90
Prime Status
3,042,960 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 5 × 31 × 409
Divisors
Total divisors: 80
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 40, 48, 60, 62, 80, 93, 120, 124, 155, 186, 240, 248, 310, 372, 409, 465, 496, 620, 744, 818, 930, 1227, 1240, 1488, 1636, 1860, 2045, 2454, 2480, 3272, 3720, 4090, 4908, 6135, 6544, 7440, 8180, 9816, 12270, 12679, 16360, 19632, 24540, 25358, 32720, 38037, 49080, 50716, 63395, 76074, 98160, 101432, 126790, 152148, 190185, 202864, 253580, 304296, 380370, 507160, 608592, 760740, 1014320, 1521480, 3042960
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.