The number 31066
31066 is a composite number with 12 divisors. Its prime factorisation is 2 × × 317. Divisors (12): 1, 2, 7, 14, 49, 98, 317, 634, 2219, 4438, 15533, 31066.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31066: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31066 is composite. Its prime factorisation is
- 3
The divisors add up to 54378; without 31066 itself that is 23312, so 31066 is deficient (23312 is less than 31066). Euler's totient φ(31066) = 13272 numbers up to 31066 share no factor with it.
- 4
The digits of 31066 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31066 = 2 \times 7^{2} \times 317 \]31066 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 54378 |
| Euler totient φ(n) | 13272 |
| Square | 965096356 |
| Cube | 29981683395496 |
| Square root | 176.255496 (= 7√634) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1066 × |
31066 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and sixty-six |
| Binary (base 2) | 111100101011010 |
| Octal (base 8) | 74532 |
| Hexadecimal (base 16) | 795A |
| Base 3 | 1120121121 |
| As time | 31066 seconds = 8 h 37 min 46 s |
Is 31066 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31066 ÷ 2 = 15533) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (31066 ÷ 7 = 4438) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31066 a prime number?
No. 31066 = 2 × × 317, so it is divisible by 2.
What are the factors of 31066?
1, 2, 7, 14, 49, 98, 317, 634, 2219, 4438, 15533, 31066.
What is 31066 in binary?
111100101011010 (hexadecimal 795A, octal 74532).
What is the square root of 31066?
About 176.2555, exactly 7√634.
Is 31066 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 31066?
31066 is a happy number: repeatedly adding the squares of its digits reaches 1.