Is 4,000,360 a Prime Number?
No, 4,000,360 is not a prime number
Number Properties
- Value:4,000,360
- Number Type:Even, Positive
- Digit Sum:13
- Total Digits:7
- Binary:1111010000101001101000
- Hexadecimal:3D0A68
Prime Status
4,000,360 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 5 × 72 × 13 × 157
Divisors
Total divisors: 96
1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 49, 52, 56, 65, 70, 91, 98, 104, 130, 140, 157, 182, 196, 245, 260, 280, 314, 364, 392, 455, 490, 520, 628, 637, 728, 785, 910, 980, 1099, 1256, 1274, 1570, 1820, 1960, 2041, 2198, 2548, 3140, 3185, 3640, 4082, 4396, 5096, 5495, 6280, 6370, 7693, 8164, 8792, 10205, 10990, 12740, 14287, 15386, 16328, 20410, 21980, 25480, 28574, 30772, 38465, 40820, 43960, 57148, 61544, 71435, 76930, 81640, 100009, 114296, 142870, 153860, 200018, 285740, 307720, 400036, 500045, 571480, 800072, 1000090, 2000180, 4000360
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.