Is 2,741,616 a Prime Number?
No, 2,741,616 is not a prime number
Number Properties
- Value:2,741,616
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1010011101010101110000
- Hexadecimal:29D570
Prime Status
2,741,616 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 32 × 79 × 241
Divisors
Total divisors: 60
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 79, 144, 158, 237, 241, 316, 474, 482, 632, 711, 723, 948, 964, 1264, 1422, 1446, 1896, 1928, 2169, 2844, 2892, 3792, 3856, 4338, 5688, 5784, 8676, 11376, 11568, 17352, 19039, 34704, 38078, 57117, 76156, 114234, 152312, 171351, 228468, 304624, 342702, 456936, 685404, 913872, 1370808, 2741616
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.