The number 31229
31229 is a composite number with 8 divisors. Its prime factorisation is 11 × 17 × 167. Divisors (8): 1, 11, 17, 167, 187, 1837, 2839, 31229.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31229: a Harshad number: divisible by its digit sum 17.
- 2
31229 is composite. Its prime factorisation is
- 3
The divisors add up to 36288; without 31229 itself that is 5059, so 31229 is deficient (5059 is less than 31229). Euler's totient φ(31229) = 26560 numbers up to 31229 share no factor with it.
- 4
The digits of 31229 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31229 = 11 \times 17 \times 167 \]
31229 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 36288 |
| Euler totient φ(n) | 26560 |
| Square | 975250441 |
| Cube | 30456096021989 |
| Square root | 176.717288 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1229 × |
31229 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and twenty-nine |
| Binary (base 2) | 111100111111101 |
| Octal (base 8) | 74775 |
| Hexadecimal (base 16) | 79FD |
| Base 3 | 1120211122 |
| As time | 31229 seconds = 8 h 40 min 29 s |
Is 31229 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 2) | 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 | Yes (31229 ÷ 11 = 2839) | 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 31229 a prime number?
No. 31229 = 11 × 17 × 167, so it is divisible by 11.
What are the factors of 31229?
1, 11, 17, 167, 187, 1837, 2839, 31229.
What is 31229 in binary?
111100111111101 (hexadecimal 79FD, octal 74775).
What is the square root of 31229?
About 176.7173.
Is 31229 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 31229?
31229 is a Harshad number: divisible by its digit sum 17.