The number 4430
4430 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 443. Divisors (8): 1, 2, 5, 10, 443, 886, 2215, 4430.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4430 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4430 is composite. Its prime factorisation is
- 3
The divisors add up to 7992; without 4430 itself that is 3562, so 4430 is deficient (3562 is less than 4430). Euler's totient φ(4430) = 1768 numbers up to 4430 share no factor with it.
- 4
The digits of 4430 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4430 = 2 \times 5 \times 443 \]
4430 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7992 |
| Euler totient φ(n) | 1768 |
| Square | 19624900 |
| Cube | 86938307000 |
| Square root | 66.558245 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 121 |
| Scientific notation | 4.43 × |
4430 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and thirty |
| Binary (base 2) | 1000101001110 |
| Octal (base 8) | 10516 |
| Hexadecimal (base 16) | 114E |
| Base 3 | 20002002 |
| As time | 4430 seconds = 1 h 13 min 50 s |
Is 4430 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4430 ÷ 2 = 2215) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4430 ÷ 5 = 886) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4430 ÷ 10 = 443) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4430 a prime number?
No. 4430 = 2 × 5 × 443, so it is divisible by 2.
What are the factors of 4430?
1, 2, 5, 10, 443, 886, 2215, 4430.
What is 4430 in binary?
1000101001110 (hexadecimal 114E, octal 10516).
What is the square root of 4430?
About 66.5582.
Is 4430 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 4430?
It is a composite number with 8 divisors.