Is 4,127,004 a Prime Number?
No, 4,127,004 is not a prime number
Number Properties
- Value:4,127,004
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1111101111100100011100
- Hexadecimal:3EF91C
Prime Status
4,127,004 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 7 × 53 × 103
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 53, 54, 63, 84, 103, 106, 108, 126, 159, 189, 206, 212, 252, 309, 318, 371, 378, 412, 477, 618, 636, 721, 742, 756, 927, 954, 1113, 1236, 1431, 1442, 1484, 1854, 1908, 2163, 2226, 2781, 2862, 2884, 3339, 3708, 4326, 4452, 5459, 5562, 5724, 6489, 6678, 8652, 10017, 10918, 11124, 12978, 13356, 16377, 19467, 20034, 21836, 25956, 32754, 38213, 38934, 40068, 49131, 65508, 76426, 77868, 98262, 114639, 147393, 152852, 196524, 229278, 294786, 343917, 458556, 589572, 687834, 1031751, 1375668, 2063502, 4127004
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.