The number 13229
13229 is the 1573rd prime number. Its only divisors are 1 and 13229.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13229: the 1573rd prime number.
- 2
13229 is prime, so its only factors are 1 and 13229. It is the 1573rd prime; the next prime is 13241 and the one before is 13219.
- 3
The divisors add up to 13230; without 13229 itself that is 1, so 13229 is deficient (1 is less than 13229). Euler's totient φ(13229) = 13228 numbers up to 13229 share no factor with it.
- 4
The digits of 13229 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 76 steps to reach 1.
13229 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13230 |
| Euler totient φ(n) | 13228 |
| Square | 175006441 |
| Cube | 2315160207989 |
| Square root | 115.017390 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3229 × |
13229 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and twenty-nine |
| Binary (base 2) | 11001110101101 |
| Octal (base 8) | 31655 |
| Hexadecimal (base 16) | 33AD |
| Base 3 | 200010222 |
| As time | 13229 seconds = 3 h 40 min 29 s |
Is 13229 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 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 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 7) | 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 13229 a prime number?
Yes. 13229 is divisible only by 1 and itself.
What are the factors of 13229?
1, 13229.
What is 13229 in binary?
11001110101101 (hexadecimal 33AD, octal 31655).
What is the square root of 13229?
About 115.0174.
Is 13229 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13229?
13229 is the 1573rd prime number.