The number 4229
4229 is a twin prime (4229 and 4231 are both prime) and the 579th prime number. Its only divisors are 1 and 4229.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4229: a twin prime (4229 and 4231 are both prime); the 579th prime number.
- 2
4229 is prime, so its only factors are 1 and 4229. It is the 579th prime; the next prime is 4231 and the one before is 4219.
- 3
The divisors add up to 4230; without 4229 itself that is 1, so 4229 is deficient (1 is less than 4229). Euler's totient φ(4229) = 4228 numbers up to 4229 share no factor with it.
- 4
The digits of 4229 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
4229 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4230 |
| Euler totient φ(n) | 4228 |
| Square | 17884441 |
| Cube | 75633300989 |
| Square root | 65.030762 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 82 |
| Scientific notation | 4.229 × |
4229 in other forms
| Form | Value |
|---|---|
| In words | four thousand two hundred and twenty-nine |
| Binary (base 2) | 1000010000101 |
| Octal (base 8) | 10205 |
| Hexadecimal (base 16) | 1085 |
| Base 3 | 12210122 |
| As time | 4229 seconds = 1 h 10 min 29 s |
Is 4229 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4229 a prime number?
Yes. 4229 is divisible only by 1 and itself.
What are the factors of 4229?
1, 4229.
What is 4229 in binary?
1000010000101 (hexadecimal 1085, octal 10205).
What is the square root of 4229?
About 65.0308.
Is 4229 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 4229?
4229 is a twin prime (4229 and 4231 are both prime); the 579th prime number.