Is 4,042,940 a Prime Number?
No, 4,042,940 is not a prime number
Number Properties
- Value:4,042,940
- Number Type:Even, Positive
- Digit Sum:23
- Total Digits:7
- Binary:1111011011000010111100
- Hexadecimal:3DB0BC
Prime Status
4,042,940 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 5 × 11 × 17 × 23 × 47
Divisors
Total divisors: 96
1, 2, 4, 5, 10, 11, 17, 20, 22, 23, 34, 44, 46, 47, 55, 68, 85, 92, 94, 110, 115, 170, 187, 188, 220, 230, 235, 253, 340, 374, 391, 460, 470, 506, 517, 748, 782, 799, 935, 940, 1012, 1034, 1081, 1265, 1564, 1598, 1870, 1955, 2068, 2162, 2530, 2585, 3196, 3740, 3910, 3995, 4301, 4324, 5060, 5170, 5405, 7820, 7990, 8602, 8789, 10340, 10810, 11891, 15980, 17204, 17578, 18377, 21505, 21620, 23782, 35156, 36754, 43010, 43945, 47564, 59455, 73508, 86020, 87890, 91885, 118910, 175780, 183770, 202147, 237820, 367540, 404294, 808588, 1010735, 2021470, 4042940
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.