The number 27716
27716 is a composite number with 18 divisors. Its prime factorisation is × × 41. Divisors (18): 1, 2, 4, 13, 26, 41, 52, 82, 164, 169, 338, 533, 676, 1066, 2132, 6929 … 27716.
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How to work it out
- 1
What is special about 27716: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27716 is composite. Its prime factorisation is
- 3
The divisors add up to 53802; without 27716 itself that is 26086, so 27716 is deficient (26086 is less than 27716). Euler's totient φ(27716) = 12480 numbers up to 27716 share no factor with it.
- 4
The digits of 27716 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27716 = 2^{2} \times 13^{2} \times 41 \]27716 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 53802 |
| Euler totient φ(n) | 12480 |
| Square | 768176656 |
| Cube | 21290784197696 |
| Square root | 166.481230 (= 26√41) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7716 × |
27716 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and sixteen |
| Binary (base 2) | 110110001000100 |
| Octal (base 8) | 66104 |
| Hexadecimal (base 16) | 6C44 |
| Base 3 | 1102000112 |
| As time | 27716 seconds = 7 h 41 min 56 s |
Is 27716 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27716 ÷ 2 = 13858) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27716 ÷ 4 = 6929) | 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 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27716 a prime number?
No. 27716 = × × 41, so it is divisible by 2.
What are the factors of 27716?
1, 2, 4, 13, 26, 41, 52, 82, 164, 169, 338, 533, 676, 1066, 2132, 6929, 13858, 27716.
What is 27716 in binary?
110110001000100 (hexadecimal 6C44, octal 66104).
What is the square root of 27716?
About 166.4812, exactly 26√41.
Is 27716 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 27716?
27716 is a happy number: repeatedly adding the squares of its digits reaches 1.