Is 4,007,240 a Prime Number?
No, 4,007,240 is not a prime number
Number Properties
- Value:4,007,240
- Number Type:Even, Positive
- Digit Sum:17
- Total Digits:7
- Binary:1111010010010101001000
- Hexadecimal:3D2548
Prime Status
4,007,240 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 5 × 17 × 71 × 83
Divisors
Total divisors: 64
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 71, 83, 85, 136, 142, 166, 170, 284, 332, 340, 355, 415, 568, 664, 680, 710, 830, 1207, 1411, 1420, 1660, 2414, 2822, 2840, 3320, 4828, 5644, 5893, 6035, 7055, 9656, 11288, 11786, 12070, 14110, 23572, 24140, 28220, 29465, 47144, 48280, 56440, 58930, 100181, 117860, 200362, 235720, 400724, 500905, 801448, 1001810, 2003620, 4007240
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.