Is 2,949,492 a Prime Number?
No, 2,949,492 is not a prime number
Number Properties
- Value:2,949,492
- Number Type:Even, Positive
- Digit Sum:39
- Total Digits:7
- Binary:1011010000000101110100
- Hexadecimal:2D0174
Prime Status
2,949,492 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 7 × 13 × 37 × 73
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 37, 39, 42, 52, 73, 74, 78, 84, 91, 111, 146, 148, 156, 182, 219, 222, 259, 273, 292, 364, 438, 444, 481, 511, 518, 546, 777, 876, 949, 962, 1022, 1036, 1092, 1443, 1533, 1554, 1898, 1924, 2044, 2701, 2847, 2886, 3066, 3108, 3367, 3796, 5402, 5694, 5772, 6132, 6643, 6734, 8103, 10101, 10804, 11388, 13286, 13468, 16206, 18907, 19929, 20202, 26572, 32412, 35113, 37814, 39858, 40404, 56721, 70226, 75628, 79716, 105339, 113442, 140452, 210678, 226884, 245791, 421356, 491582, 737373, 983164, 1474746, 2949492
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.