Is 4,267,120 a Prime Number?
No, 4,267,120 is not a prime number
Number Properties
- Value:4,267,120
- Number Type:Even, Positive
- Digit Sum:22
- Total Digits:7
- Binary:10000010001110001110000
- Hexadecimal:411C70
Prime Status
4,267,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 5 × 11 × 13 × 373
Divisors
Total divisors: 80
1, 2, 4, 5, 8, 10, 11, 13, 16, 20, 22, 26, 40, 44, 52, 55, 65, 80, 88, 104, 110, 130, 143, 176, 208, 220, 260, 286, 373, 440, 520, 572, 715, 746, 880, 1040, 1144, 1430, 1492, 1865, 2288, 2860, 2984, 3730, 4103, 4849, 5720, 5968, 7460, 8206, 9698, 11440, 14920, 16412, 19396, 20515, 24245, 29840, 32824, 38792, 41030, 48490, 53339, 65648, 77584, 82060, 96980, 106678, 164120, 193960, 213356, 266695, 328240, 387920, 426712, 533390, 853424, 1066780, 2133560, 4267120
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.