The number 52182
52182 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 223. Divisors (24): 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 223, 234, 446, 669, 1338 … 52182.
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How to work it out
- 1
What is special about 52182: a Harshad number: divisible by its digit sum 18.
- 2
52182 is composite. Its prime factorisation is
- 3
The divisors add up to 122304; without 52182 itself that is 70122, so 52182 is abundant (70122 is more than 52182). Euler's totient φ(52182) = 15984 numbers up to 52182 share no factor with it.
- 4
The digits of 52182 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52182 = 2 \times 3^{2} \times 13 \times 223 \]52182 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 122304 |
| Euler totient φ(n) | 15984 |
| Square | 2722961124 |
| Cube | 142089557372568 |
| Square root | 228.433798 (= 3√5798) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 5.2182 × |
52182 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand one hundred and eighty-two |
| Binary (base 2) | 1100101111010110 |
| Octal (base 8) | 145726 |
| Hexadecimal (base 16) | CBD6 |
| Base 3 | 2122120200 |
| As time | 52182 seconds = 14 h 29 min 42 s |
Is 52182 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52182 ÷ 2 = 26091) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52182 ÷ 3 = 17394) | 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 (52182 ÷ 6 = 8697) | 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 | Yes (52182 ÷ 9 = 5798) | 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 9) | 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 52182 a prime number?
No. 52182 = 2 × × 13 × 223, so it is divisible by 2.
What are the factors of 52182?
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 223, 234, 446, 669, 1338, 2007, 2899, 4014, 5798, 8697, 17394, 26091, 52182.
What is 52182 in binary?
1100101111010110 (hexadecimal CBD6, octal 145726).
What is the square root of 52182?
About 228.4338, exactly 3√5798.
Is 52182 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 52182?
52182 is a Harshad number: divisible by its digit sum 18.