Is 3,878,496 a Prime Number?
No, 3,878,496 is not a prime number
Number Properties
- Value:3,878,496
- Number Type:Even, Positive
- Digit Sum:45
- Total Digits:7
- Binary:1110110010111001100000
- Hexadecimal:3B2E60
Prime Status
3,878,496 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 33 × 672
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 67, 72, 96, 108, 134, 144, 201, 216, 268, 288, 402, 432, 536, 603, 804, 864, 1072, 1206, 1608, 1809, 2144, 2412, 3216, 3618, 4489, 4824, 6432, 7236, 8978, 9648, 13467, 14472, 17956, 19296, 26934, 28944, 35912, 40401, 53868, 57888, 71824, 80802, 107736, 121203, 143648, 161604, 215472, 242406, 323208, 430944, 484812, 646416, 969624, 1292832, 1939248, 3878496
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.