Is 4,073,490 a Prime Number?
No, 4,073,490 is not a prime number
Number Properties
- Value:4,073,490
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1111100010100000010010
- Hexadecimal:3E2812
Prime Status
4,073,490 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 34 × 5 × 47 × 107
Divisors
Total divisors: 80
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 47, 54, 81, 90, 94, 107, 135, 141, 162, 214, 235, 270, 282, 321, 405, 423, 470, 535, 642, 705, 810, 846, 963, 1070, 1269, 1410, 1605, 1926, 2115, 2538, 2889, 3210, 3807, 4230, 4815, 5029, 5778, 6345, 7614, 8667, 9630, 10058, 12690, 14445, 15087, 17334, 19035, 25145, 28890, 30174, 38070, 43335, 45261, 50290, 75435, 86670, 90522, 135783, 150870, 226305, 271566, 407349, 452610, 678915, 814698, 1357830, 2036745, 4073490
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.