The number 31914
31914 is a composite number with 20 divisors. Its prime factorisation is 2 × × 197. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 197, 394, 591, 1182, 1773, 3546 … 31914.
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How to work it out
- 1
What is special about 31914: a Harshad number: divisible by its digit sum 18.
- 2
31914 is composite. Its prime factorisation is
- 3
The divisors add up to 71874; without 31914 itself that is 39960, so 31914 is abundant (39960 is more than 31914). Euler's totient φ(31914) = 10584 numbers up to 31914 share no factor with it.
- 4
The digits of 31914 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31914 = 2 \times 3^{4} \times 197 \]31914 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 71874 |
| Euler totient φ(n) | 10584 |
| Square | 1018503396 |
| Cube | 32504517379944 |
| Square root | 178.644899 (= 9√394) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1914 × |
31914 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand nine hundred and fourteen |
| Binary (base 2) | 111110010101010 |
| Octal (base 8) | 76252 |
| Hexadecimal (base 16) | 7CAA |
| Base 3 | 1121210000 |
| As time | 31914 seconds = 8 h 51 min 54 s |
Is 31914 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31914 ÷ 2 = 15957) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31914 ÷ 3 = 10638) | 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 (31914 ÷ 6 = 5319) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (31914 ÷ 9 = 3546) | 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 3) | 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 31914 a prime number?
No. 31914 = 2 × × 197, so it is divisible by 2.
What are the factors of 31914?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 197, 394, 591, 1182, 1773, 3546, 5319, 10638, 15957, 31914.
What is 31914 in binary?
111110010101010 (hexadecimal 7CAA, octal 76252).
What is the square root of 31914?
About 178.6449, exactly 9√394.
Is 31914 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 31914?
31914 is a Harshad number: divisible by its digit sum 18.