The number 31314
31314 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 307. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 307, 614, 921, 1842, 5219, 10438, 15657, 31314.
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How to work it out
- 1
31314 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31314 is composite. Its prime factorisation is
- 3
The divisors add up to 66528; without 31314 itself that is 35214, so 31314 is abundant (35214 is more than 31314). Euler's totient φ(31314) = 9792 numbers up to 31314 share no factor with it.
- 4
The digits of 31314 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31314 = 2 \times 3 \times 17 \times 307 \]
31314 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 66528 |
| Euler totient φ(n) | 9792 |
| Square | 980566596 |
| Cube | 30705462387144 |
| Square root | 176.957622 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1314 × |
31314 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and fourteen |
| Binary (base 2) | 111101001010010 |
| Octal (base 8) | 75122 |
| Hexadecimal (base 16) | 7A52 |
| Base 3 | 1120221210 |
| As time | 31314 seconds = 8 h 41 min 54 s |
Is 31314 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31314 ÷ 2 = 15657) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31314 ÷ 3 = 10438) | 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 (31314 ÷ 6 = 5219) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | 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 8) | 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 31314 a prime number?
No. 31314 = 2 × 3 × 17 × 307, so it is divisible by 2.
What are the factors of 31314?
1, 2, 3, 6, 17, 34, 51, 102, 307, 614, 921, 1842, 5219, 10438, 15657, 31314.
What is 31314 in binary?
111101001010010 (hexadecimal 7A52, octal 75122).
What is the square root of 31314?
About 176.9576.
Is 31314 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 31314?
It is a composite number with 16 divisors.