Is 4,094,076 a Prime Number?
No, 4,094,076 is not a prime number
Number Properties
- Value:4,094,076
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1111100111100001111100
- Hexadecimal:3E787C
Prime Status
4,094,076 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 7 × 17 × 47 × 61
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 47, 51, 61, 68, 84, 94, 102, 119, 122, 141, 183, 188, 204, 238, 244, 282, 329, 357, 366, 427, 476, 564, 658, 714, 732, 799, 854, 987, 1037, 1281, 1316, 1428, 1598, 1708, 1974, 2074, 2397, 2562, 2867, 3111, 3196, 3948, 4148, 4794, 5124, 5593, 5734, 6222, 7259, 8601, 9588, 11186, 11468, 12444, 14518, 16779, 17202, 20069, 21777, 22372, 29036, 33558, 34404, 40138, 43554, 48739, 60207, 67116, 80276, 87108, 97478, 120414, 146217, 194956, 240828, 292434, 341173, 584868, 682346, 1023519, 1364692, 2047038, 4094076
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.