The number 27816
27816 is a composite number with 32 divisors. Its prime factorisation is × 3 × 19 × 61. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 61, 76, 114, 122, 152 … 27816.
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How to work it out
- 1
What is special about 27816: a Harshad number: divisible by its digit sum 24.
- 2
27816 is composite. Its prime factorisation is
- 3
The divisors add up to 74400; without 27816 itself that is 46584, so 27816 is abundant (46584 is more than 27816). Euler's totient φ(27816) = 8640 numbers up to 27816 share no factor with it.
- 4
The digits of 27816 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27816 = 2^{3} \times 3 \times 19 \times 61 \]27816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 74400 |
| Euler totient φ(n) | 8640 |
| Square | 773729856 |
| Cube | 21522069674496 |
| Square root | 166.781294 (= 2√6954) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.7816 × |
27816 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred and sixteen |
| Binary (base 2) | 110110010101000 |
| Octal (base 8) | 66250 |
| Hexadecimal (base 16) | 6CA8 |
| Base 3 | 1102011020 |
| As time | 27816 seconds = 7 h 43 min 36 s |
Is 27816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27816 ÷ 2 = 13908) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27816 ÷ 3 = 9272) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27816 ÷ 4 = 6954) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27816 ÷ 6 = 4636) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (27816 ÷ 8 = 3477) | 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 6) | 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 | Yes (27816 ÷ 12 = 2318) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27816 a prime number?
No. 27816 = × 3 × 19 × 61, so it is divisible by 2.
What are the factors of 27816?
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 61, 76, 114, 122, 152, 183, 228, 244, 366, 456, 488, 732, 1159, 1464, 2318, 3477, 4636, 6954, 9272, 13908, 27816.
What is 27816 in binary?
110110010101000 (hexadecimal 6CA8, octal 66250).
What is the square root of 27816?
About 166.7813, exactly 2√6954.
Is 27816 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 27816?
27816 is a Harshad number: divisible by its digit sum 24.