Is 4,002,720 a Prime Number?
No, 4,002,720 is not a prime number
Number Properties
- Value:4,002,720
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:7
- Binary:1111010001001110100000
- Hexadecimal:3D13A0
Prime Status
4,002,720 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 5 × 31 × 269
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 32, 40, 48, 60, 62, 80, 93, 96, 120, 124, 155, 160, 186, 240, 248, 269, 310, 372, 465, 480, 496, 538, 620, 744, 807, 930, 992, 1076, 1240, 1345, 1488, 1614, 1860, 2152, 2480, 2690, 2976, 3228, 3720, 4035, 4304, 4960, 5380, 6456, 7440, 8070, 8339, 8608, 10760, 12912, 14880, 16140, 16678, 21520, 25017, 25824, 32280, 33356, 41695, 43040, 50034, 64560, 66712, 83390, 100068, 125085, 129120, 133424, 166780, 200136, 250170, 266848, 333560, 400272, 500340, 667120, 800544, 1000680, 1334240, 2001360, 4002720
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.