The number 81162
81162 is a composite number with 24 divisors. Its prime factorisation is 2 × × 167. Divisors (24): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 167, 243, 334, 486, 501, 1002 … 81162.
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How to work it out
- 1
What is special about 81162: a Harshad number: divisible by its digit sum 18.
- 2
81162 is composite. Its prime factorisation is
- 3
The divisors add up to 183456; without 81162 itself that is 102294, so 81162 is abundant (102294 is more than 81162). Euler's totient φ(81162) = 26892 numbers up to 81162 share no factor with it.
- 4
The digits of 81162 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 81162 = 2 \times 3^{5} \times 167 \]81162 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 183456 |
| Euler totient φ(n) | 26892 |
| Square | 6587270244 |
| Cube | 534636027543528 |
| Square root | 284.889452 (= 9√1002) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 37 |
| Scientific notation | 8.1162 × |
81162 in other forms
| Form | Value |
|---|---|
| In words | eighty-one thousand one hundred and sixty-two |
| Binary (base 2) | 10011110100001010 |
| Octal (base 8) | 236412 |
| Hexadecimal (base 16) | 13D0A |
| Base 3 | 11010100000 |
| As time | 81162 seconds = 22 h 32 min 42 s |
Is 81162 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (81162 ÷ 2 = 40581) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (81162 ÷ 3 = 27054) | 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 (81162 ÷ 6 = 13527) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (81162 ÷ 9 = 9018) | 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 4) | 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 81162 a prime number?
No. 81162 = 2 × × 167, so it is divisible by 2.
What are the factors of 81162?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 167, 243, 334, 486, 501, 1002, 1503, 3006, 4509, 9018, 13527, 27054, 40581, 81162.
What is 81162 in binary?
10011110100001010 (hexadecimal 13D0A, octal 236412).
What is the square root of 81162?
About 284.8895, exactly 9√1002.
Is 81162 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 81162?
81162 is a Harshad number: divisible by its digit sum 18.