Is 3,424,720 a Prime Number?
No, 3,424,720 is not a prime number
Number Properties
- Value:3,424,720
- Number Type:Even, Positive
- Digit Sum:22
- Total Digits:7
- Binary:1101000100000111010000
- Hexadecimal:3441D0
Prime Status
3,424,720 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 5 × 13 × 37 × 89
Divisors
Total divisors: 80
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 37, 40, 52, 65, 74, 80, 89, 104, 130, 148, 178, 185, 208, 260, 296, 356, 370, 445, 481, 520, 592, 712, 740, 890, 962, 1040, 1157, 1424, 1480, 1780, 1924, 2314, 2405, 2960, 3293, 3560, 3848, 4628, 4810, 5785, 6586, 7120, 7696, 9256, 9620, 11570, 13172, 16465, 18512, 19240, 23140, 26344, 32930, 38480, 42809, 46280, 52688, 65860, 85618, 92560, 131720, 171236, 214045, 263440, 342472, 428090, 684944, 856180, 1712360, 3424720
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.