The number 88182
88182 is a composite number with 32 divisors. Its prime factorisation is 2 × × 23 × 71. Divisors (32): 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 71, 138, 142, 207, 213 … 88182.
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How to work it out
- 1
What is special about 88182: a Harshad number: divisible by its digit sum 27.
- 2
88182 is composite. Its prime factorisation is
- 3
The divisors add up to 207360; without 88182 itself that is 119178, so 88182 is abundant (119178 is more than 88182). Euler's totient φ(88182) = 27720 numbers up to 88182 share no factor with it.
- 4
The digits of 88182 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88182 = 2 \times 3^{3} \times 23 \times 71 \]88182 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 207360 |
| Euler totient φ(n) | 27720 |
| Square | 7776065124 |
| Cube | 685708974764568 |
| Square root | 296.954542 (= 3√9798) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 102 |
| Scientific notation | 8.8182 × |
88182 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand one hundred and eighty-two |
| Binary (base 2) | 10101100001110110 |
| Octal (base 8) | 254166 |
| Hexadecimal (base 16) | 15876 |
| Base 3 | 11110222000 |
| As time | 88182 seconds = 24 h 29 min 42 s |
Is 88182 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88182 ÷ 2 = 44091) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88182 ÷ 3 = 29394) | 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 (88182 ÷ 6 = 14697) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (88182 ÷ 9 = 9798) | 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 6) | 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 88182 a prime number?
No. 88182 = 2 × × 23 × 71, so it is divisible by 2.
What are the factors of 88182?
1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 71, 138, 142, 207, 213, 414, 426, 621, 639, 1242, 1278, 1633, 1917, 3266, 3834, 4899, 9798, 14697, 29394, 44091, 88182.
What is 88182 in binary?
10101100001110110 (hexadecimal 15876, octal 254166).
What is the square root of 88182?
About 296.9545, exactly 3√9798.
Is 88182 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 88182?
88182 is a Harshad number: divisible by its digit sum 27.