The number 27730
27730 is a triangular number: 1 + 2 + … + 235 = 27730. Its prime factorisation is 2 × 5 × 47 × 59. Divisors (16): 1, 2, 5, 10, 47, 59, 94, 118, 235, 295, 470, 590, 2773, 5546, 13865, 27730.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27730: a triangular number: 1 + 2 + … + 235 = 27730.
- 2
27730 is composite. Its prime factorisation is
- 3
The divisors add up to 51840; without 27730 itself that is 24110, so 27730 is deficient (24110 is less than 27730). Euler's totient φ(27730) = 10672 numbers up to 27730 share no factor with it.
- 4
The digits of 27730 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27730 = 2 \times 5 \times 47 \times 59 \]
27730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 51840 |
| Euler totient φ(n) | 10672 |
| Square | 768952900 |
| Cube | 21323063917000 |
| Square root | 166.523272 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.773 × |
27730 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and thirty |
| Binary (base 2) | 110110001010010 |
| Octal (base 8) | 66122 |
| Hexadecimal (base 16) | 6C52 |
| Base 3 | 1102001001 |
| As time | 27730 seconds = 7 h 42 min 10 s |
Is 27730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27730 ÷ 2 = 13865) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | Yes (27730 ÷ 5 = 5546) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27730 ÷ 10 = 2773) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27730 a prime number?
No. 27730 = 2 × 5 × 47 × 59, so it is divisible by 2.
What are the factors of 27730?
1, 2, 5, 10, 47, 59, 94, 118, 235, 295, 470, 590, 2773, 5546, 13865, 27730.
What is 27730 in binary?
110110001010010 (hexadecimal 6C52, octal 66122).
What is the square root of 27730?
About 166.5233.
Is 27730 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 27730?
27730 is a triangular number: 1 + 2 + … + 235 = 27730.