Is 4,040,088 a Prime Number?
No, 4,040,088 is not a prime number
Number Properties
- Value:4,040,088
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1111011010010110011000
- Hexadecimal:3DA598
Prime Status
4,040,088 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 13 × 23 × 563
Divisors
Total divisors: 64
1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 563, 598, 897, 1126, 1196, 1689, 1794, 2252, 2392, 3378, 3588, 4504, 6756, 7176, 7319, 12949, 13512, 14638, 21957, 25898, 29276, 38847, 43914, 51796, 58552, 77694, 87828, 103592, 155388, 168337, 175656, 310776, 336674, 505011, 673348, 1010022, 1346696, 2020044, 4040088
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.