Is 4,704,420 a Prime Number?
No, 4,704,420 is not a prime number
Number Properties
- Value:4,704,420
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:10001111100100010100100
- Hexadecimal:47C8A4
Prime Status
4,704,420 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 5 × 7 × 23 × 487
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 60, 69, 70, 84, 92, 105, 115, 138, 140, 161, 210, 230, 276, 322, 345, 420, 460, 483, 487, 644, 690, 805, 966, 974, 1380, 1461, 1610, 1932, 1948, 2415, 2435, 2922, 3220, 3409, 4830, 4870, 5844, 6818, 7305, 9660, 9740, 10227, 11201, 13636, 14610, 17045, 20454, 22402, 29220, 33603, 34090, 40908, 44804, 51135, 56005, 67206, 68180, 78407, 102270, 112010, 134412, 156814, 168015, 204540, 224020, 235221, 313628, 336030, 392035, 470442, 672060, 784070, 940884, 1176105, 1568140, 2352210, 4704420
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.