Is 4,007,340 a Prime Number?
No, 4,007,340 is not a prime number
Number Properties
- Value:4,007,340
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1111010010010110101100
- Hexadecimal:3D25AC
Prime Status
4,007,340 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 5 × 41 × 181
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 41, 45, 54, 60, 82, 90, 108, 123, 135, 164, 180, 181, 205, 246, 270, 362, 369, 410, 492, 540, 543, 615, 724, 738, 820, 905, 1086, 1107, 1230, 1476, 1629, 1810, 1845, 2172, 2214, 2460, 2715, 3258, 3620, 3690, 4428, 4887, 5430, 5535, 6516, 7380, 7421, 8145, 9774, 10860, 11070, 14842, 16290, 19548, 22140, 22263, 24435, 29684, 32580, 37105, 44526, 48870, 66789, 74210, 89052, 97740, 111315, 133578, 148420, 200367, 222630, 267156, 333945, 400734, 445260, 667890, 801468, 1001835, 1335780, 2003670, 4007340
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.