Is 4,080,804 a Prime Number?
No, 4,080,804 is not a prime number
Number Properties
- Value:4,080,804
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1111100100010010100100
- Hexadecimal:3E44A4
Prime Status
4,080,804 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 7 × 13 × 37 × 101
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 37, 39, 42, 52, 74, 78, 84, 91, 101, 111, 148, 156, 182, 202, 222, 259, 273, 303, 364, 404, 444, 481, 518, 546, 606, 707, 777, 962, 1036, 1092, 1212, 1313, 1414, 1443, 1554, 1924, 2121, 2626, 2828, 2886, 3108, 3367, 3737, 3939, 4242, 5252, 5772, 6734, 7474, 7878, 8484, 9191, 10101, 11211, 13468, 14948, 15756, 18382, 20202, 22422, 26159, 27573, 36764, 40404, 44844, 48581, 52318, 55146, 78477, 97162, 104636, 110292, 145743, 156954, 194324, 291486, 313908, 340067, 582972, 680134, 1020201, 1360268, 2040402, 4080804
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.