Is 2,742,900 a Prime Number?
No, 2,742,900 is not a prime number
Number Properties
- Value:2,742,900
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1010011101101001110100
- Hexadecimal:29DA74
Prime Status
2,742,900 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 52 × 41 × 223
Divisors
Total divisors: 72
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 41, 50, 60, 75, 82, 100, 123, 150, 164, 205, 223, 246, 300, 410, 446, 492, 615, 669, 820, 892, 1025, 1115, 1230, 1338, 2050, 2230, 2460, 2676, 3075, 3345, 4100, 4460, 5575, 6150, 6690, 9143, 11150, 12300, 13380, 16725, 18286, 22300, 27429, 33450, 36572, 45715, 54858, 66900, 91430, 109716, 137145, 182860, 228575, 274290, 457150, 548580, 685725, 914300, 1371450, 2742900
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.