The number 31182
31182 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 5197. Divisors (8): 1, 2, 3, 6, 5197, 10394, 15591, 31182.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31182: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31182 is composite. Its prime factorisation is
- 3
The divisors add up to 62376; without 31182 itself that is 31194, so 31182 is abundant (31194 is more than 31182). Euler's totient φ(31182) = 10392 numbers up to 31182 share no factor with it.
- 4
The digits of 31182 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31182 = 2 \times 3 \times 5197 \]
31182 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 62376 |
| Euler totient φ(n) | 10392 |
| Square | 972317124 |
| Cube | 30318792560568 |
| Square root | 176.584258 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1182 × |
31182 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and eighty-two |
| Binary (base 2) | 111100111001110 |
| Octal (base 8) | 74716 |
| Hexadecimal (base 16) | 79CE |
| Base 3 | 1120202220 |
| As time | 31182 seconds = 8 h 39 min 42 s |
Is 31182 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31182 ÷ 2 = 15591) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31182 ÷ 3 = 10394) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (31182 ÷ 6 = 5197) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 31182 a prime number?
No. 31182 = 2 × 3 × 5197, so it is divisible by 2.
What are the factors of 31182?
1, 2, 3, 6, 5197, 10394, 15591, 31182.
What is 31182 in binary?
111100111001110 (hexadecimal 79CE, octal 74716).
What is the square root of 31182?
About 176.5843.
Is 31182 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 31182?
31182 is a happy number: repeatedly adding the squares of its digits reaches 1.