Is 2,948,472 a Prime Number?
No, 2,948,472 is not a prime number
Number Properties
- Value:2,948,472
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1011001111110101111000
- Hexadecimal:2CFD78
Prime Status
2,948,472 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 31 × 1321
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 31, 36, 62, 72, 93, 124, 186, 248, 279, 372, 558, 744, 1116, 1321, 2232, 2642, 3963, 5284, 7926, 10568, 11889, 15852, 23778, 31704, 40951, 47556, 81902, 95112, 122853, 163804, 245706, 327608, 368559, 491412, 737118, 982824, 1474236, 2948472
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.