Is 4,757,004 a Prime Number?
No, 4,757,004 is not a prime number
Number Properties
- Value:4,757,004
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:10010001001011000001100
- Hexadecimal:48960C
Prime Status
4,757,004 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 7 × 43 × 439
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 43, 63, 84, 86, 126, 129, 172, 252, 258, 301, 387, 439, 516, 602, 774, 878, 903, 1204, 1317, 1548, 1756, 1806, 2634, 2709, 3073, 3612, 3951, 5268, 5418, 6146, 7902, 9219, 10836, 12292, 15804, 18438, 18877, 27657, 36876, 37754, 55314, 56631, 75508, 110628, 113262, 132139, 169893, 226524, 264278, 339786, 396417, 528556, 679572, 792834, 1189251, 1585668, 2378502, 4757004
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.