Is 3,478,720 a Prime Number?
No, 3,478,720 is not a prime number
Number Properties
- Value:3,478,720
- Number Type:Even, Positive
- Digit Sum:31
- Total Digits:7
- Binary:1101010001010011000000
- Hexadecimal:3514C0
Prime Status
3,478,720 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
26 × 5 × 7 × 1553
Divisors
Total divisors: 56
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 1553, 2240, 3106, 6212, 7765, 10871, 12424, 15530, 21742, 24848, 31060, 43484, 49696, 54355, 62120, 86968, 99392, 108710, 124240, 173936, 217420, 248480, 347872, 434840, 496960, 695744, 869680, 1739360, 3478720
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.