The number 4423
4423 is a twin prime (4421 and 4423 are both prime) and the 602nd prime number. Its only divisors are 1 and 4423.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4423: a twin prime (4421 and 4423 are both prime); the 602nd prime number.
- 2
4423 is prime, so its only factors are 1 and 4423. It is the 602nd prime; the next prime is 4441 and the one before is 4421.
- 3
The divisors add up to 4424; without 4423 itself that is 1, so 4423 is deficient (1 is less than 4423). Euler's totient φ(4423) = 4422 numbers up to 4423 share no factor with it.
- 4
The digits of 4423 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
4423 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4424 |
| Euler totient φ(n) | 4422 |
| Square | 19562929 |
| Cube | 86526834967 |
| Square root | 66.505639 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 77 |
| Scientific notation | 4.423 × |
4423 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and twenty-three |
| Binary (base 2) | 1000101000111 |
| Octal (base 8) | 10507 |
| Hexadecimal (base 16) | 1147 |
| Base 3 | 20001211 |
| As time | 4423 seconds = 1 h 13 min 43 s |
Is 4423 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4423 a prime number?
Yes. 4423 is divisible only by 1 and itself.
What are the factors of 4423?
1, 4423.
What is 4423 in binary?
1000101000111 (hexadecimal 1147, octal 10507).
What is the square root of 4423?
About 66.5056.
Is 4423 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 4423?
4423 is a twin prime (4421 and 4423 are both prime); the 602nd prime number.