The number 27992
27992 is a composite number with 8 divisors. Its prime factorisation is × 3499. Divisors (8): 1, 2, 4, 8, 3499, 6998, 13996, 27992.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27992: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27992 is composite. Its prime factorisation is
- 3
The divisors add up to 52500; without 27992 itself that is 24508, so 27992 is deficient (24508 is less than 27992). Euler's totient φ(27992) = 13992 numbers up to 27992 share no factor with it.
- 4
The digits of 27992 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27992 = 2^{3} \times 3499 \]27992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 52500 |
| Euler totient φ(n) | 13992 |
| Square | 783552064 |
| Cube | 21933189375488 |
| Square root | 167.308099 (= 2√6998) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.7992 × |
27992 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and ninety-two |
| Binary (base 2) | 110110101011000 |
| Octal (base 8) | 66530 |
| Hexadecimal (base 16) | 6D58 |
| Base 3 | 1102101202 |
| As time | 27992 seconds = 7 h 46 min 32 s |
Is 27992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27992 ÷ 2 = 13996) | 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 (27992 ÷ 4 = 6998) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (27992 ÷ 8 = 3499) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | 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 27992 a prime number?
No. 27992 = × 3499, so it is divisible by 2.
What are the factors of 27992?
1, 2, 4, 8, 3499, 6998, 13996, 27992.
What is 27992 in binary?
110110101011000 (hexadecimal 6D58, octal 66530).
What is the square root of 27992?
About 167.3081, exactly 2√6998.
Is 27992 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 27992?
27992 is a happy number: repeatedly adding the squares of its digits reaches 1.