The number 31014
31014 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1723. Divisors (12): 1, 2, 3, 6, 9, 18, 1723, 3446, 5169, 10338, 15507, 31014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31014: a Harshad number: divisible by its digit sum 9.
- 2
31014 is composite. Its prime factorisation is
- 3
The divisors add up to 67236; without 31014 itself that is 36222, so 31014 is abundant (36222 is more than 31014). Euler's totient φ(31014) = 10332 numbers up to 31014 share no factor with it.
- 4
The digits of 31014 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31014 = 2 \times 3^{2} \times 1723 \]31014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 67236 |
| Euler totient φ(n) | 10332 |
| Square | 961868196 |
| Cube | 29831380230744 |
| Square root | 176.107921 (= 3√3446) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1014 × |
31014 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and fourteen |
| Binary (base 2) | 111100100100110 |
| Octal (base 8) | 74446 |
| Hexadecimal (base 16) | 7926 |
| Base 3 | 1120112200 |
| As time | 31014 seconds = 8 h 36 min 54 s |
Is 31014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31014 ÷ 2 = 15507) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31014 ÷ 3 = 10338) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (31014 ÷ 6 = 5169) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31014 ÷ 9 = 3446) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31014 a prime number?
No. 31014 = 2 × × 1723, so it is divisible by 2.
What are the factors of 31014?
1, 2, 3, 6, 9, 18, 1723, 3446, 5169, 10338, 15507, 31014.
What is 31014 in binary?
111100100100110 (hexadecimal 7926, octal 74446).
What is the square root of 31014?
About 176.1079, exactly 3√3446.
Is 31014 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 31014?
31014 is a Harshad number: divisible by its digit sum 9.