The number 1229
1229 is a twin prime (1229 and 1231 are both prime) and the 201st prime number. Its only divisors are 1 and 1229.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1229: a twin prime (1229 and 1231 are both prime); the 201st prime number.
- 2
1229 is prime, so its only factors are 1 and 1229. It is the 201st prime; the next prime is 1231 and the one before is 1223.
- 3
The divisors add up to 1230; without 1229 itself that is 1, so 1229 is deficient (1 is less than 1229). Euler's totient φ(1229) = 1228 numbers up to 1229 share no factor with it.
- 4
The digits of 1229 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
1229 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1230 |
| Euler totient φ(n) | 1228 |
| Square | 1510441 |
| Cube | 1856331989 |
| Square root | 35.057096 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 39 |
| Scientific notation | 1.229 × |
1229 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and twenty-nine |
| Roman numerals | MCCXXIX |
| Binary (base 2) | 10011001101 |
| Octal (base 8) | 2315 |
| Hexadecimal (base 16) | 4CD |
| Base 3 | 1200112 |
| As time | 1229 seconds = 20 min 29 s |
Is 1229 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 4) | 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 5) | 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 8) | 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 1229 a prime number?
Yes. 1229 is divisible only by 1 and itself.
What are the factors of 1229?
1, 1229.
What is 1229 in binary?
10011001101 (hexadecimal 4CD, octal 2315).
What is the square root of 1229?
About 35.0571.
What is 1229 in Roman numerals?
MCCXXIX.
Is 1229 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1229?
1229 is a twin prime (1229 and 1231 are both prime); the 201st prime number.