Is 4,008,120 a Prime Number?
No, 4,008,120 is not a prime number
Number Properties
- Value:4,008,120
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:7
- Binary:1111010010100010111000
- Hexadecimal:3D28B8
Prime Status
4,008,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 5 × 127 × 263
Divisors
Total divisors: 64
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 127, 254, 263, 381, 508, 526, 635, 762, 789, 1016, 1052, 1270, 1315, 1524, 1578, 1905, 2104, 2540, 2630, 3048, 3156, 3810, 3945, 5080, 5260, 6312, 7620, 7890, 10520, 15240, 15780, 31560, 33401, 66802, 100203, 133604, 167005, 200406, 267208, 334010, 400812, 501015, 668020, 801624, 1002030, 1336040, 2004060, 4008120
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.