Is 4,274,004 a Prime Number?
No, 4,274,004 is not a prime number
Number Properties
- Value:4,274,004
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:10000010011011101010100
- Hexadecimal:413754
Prime Status
4,274,004 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 7 × 17 × 41 × 73
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 41, 42, 51, 68, 73, 82, 84, 102, 119, 123, 146, 164, 204, 219, 238, 246, 287, 292, 357, 438, 476, 492, 511, 574, 697, 714, 861, 876, 1022, 1148, 1241, 1394, 1428, 1533, 1722, 2044, 2091, 2482, 2788, 2993, 3066, 3444, 3723, 4182, 4879, 4964, 5986, 6132, 7446, 8364, 8687, 8979, 9758, 11972, 14637, 14892, 17374, 17958, 19516, 20951, 26061, 29274, 34748, 35916, 41902, 50881, 52122, 58548, 62853, 83804, 101762, 104244, 125706, 152643, 203524, 251412, 305286, 356167, 610572, 712334, 1068501, 1424668, 2137002, 4274004
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.