The number 31482
31482 is a composite number with 32 divisors. Its prime factorisation is 2 × × 11 × 53. Divisors (32): 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 53, 54, 66, 99, 106, 159 … 31482.
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How to work it out
- 1
What is special about 31482: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
31482 is composite. Its prime factorisation is
- 3
The divisors add up to 77760; without 31482 itself that is 46278, so 31482 is abundant (46278 is more than 31482). Euler's totient φ(31482) = 9360 numbers up to 31482 share no factor with it.
- 4
The digits of 31482 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 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31482 = 2 \times 3^{3} \times 11 \times 53 \]31482 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 77760 |
| Euler totient φ(n) | 9360 |
| Square | 991116324 |
| Cube | 31202324112168 |
| Square root | 177.431677 (= 3√3498) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1482 × |
31482 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand four hundred and eighty-two |
| Binary (base 2) | 111101011111010 |
| Octal (base 8) | 75372 |
| Hexadecimal (base 16) | 7AFA |
| Base 3 | 1121012000 |
| As time | 31482 seconds = 8 h 44 min 42 s |
Is 31482 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31482 ÷ 2 = 15741) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31482 ÷ 3 = 10494) | 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 (31482 ÷ 6 = 5247) | 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 | Yes (31482 ÷ 9 = 3498) | 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 | Yes (31482 ÷ 11 = 2862) | 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 31482 a prime number?
No. 31482 = 2 × × 11 × 53, so it is divisible by 2.
What are the factors of 31482?
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 53, 54, 66, 99, 106, 159, 198, 297, 318, 477, 583, 594, 954, 1166, 1431, 1749, 2862, 3498, 5247, 10494, 15741, 31482.
What is 31482 in binary?
111101011111010 (hexadecimal 7AFA, octal 75372).
What is the square root of 31482?
About 177.4317, exactly 3√3498.
Is 31482 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 31482?
31482 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.