Is 3,704,480 a Prime Number?
No, 3,704,480 is not a prime number
Number Properties
- Value:3,704,480
- Number Type:Even, Positive
- Digit Sum:26
- Total Digits:7
- Binary:1110001000011010100000
- Hexadecimal:3886A0
Prime Status
3,704,480 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 5 × 132 × 137
Divisors
Total divisors: 72
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 137, 160, 169, 208, 260, 274, 338, 416, 520, 548, 676, 685, 845, 1040, 1096, 1352, 1370, 1690, 1781, 2080, 2192, 2704, 2740, 3380, 3562, 4384, 5408, 5480, 6760, 7124, 8905, 10960, 13520, 14248, 17810, 21920, 23153, 27040, 28496, 35620, 46306, 56992, 71240, 92612, 115765, 142480, 185224, 231530, 284960, 370448, 463060, 740896, 926120, 1852240, 3704480
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.