The number 27662
27662 is a composite number with 4 divisors. Its prime factorisation is 2 × 13831. Divisors (4): 1, 2, 13831, 27662.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27662: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 13831, the product of two primes.
- 2
27662 is composite. Its prime factorisation is
- 3
The divisors add up to 41496; without 27662 itself that is 13834, so 27662 is deficient (13834 is less than 27662). Euler's totient φ(27662) = 13830 numbers up to 27662 share no factor with it.
- 4
The digits of 27662 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 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27662 = 2 \times 13831 \]
27662 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 41496 |
| Euler totient φ(n) | 13830 |
| Square | 765186244 |
| Cube | 21166581881528 |
| Square root | 166.318971 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7662 × |
27662 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand six hundred and sixty-two |
| Binary (base 2) | 110110000001110 |
| Octal (base 8) | 66016 |
| Hexadecimal (base 16) | 6C0E |
| Base 3 | 1101221112 |
| As time | 27662 seconds = 7 h 41 min 2 s |
Is 27662 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27662 ÷ 2 = 13831) | 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 | 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 | No (remainder 2) | 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 | No (remainder 6) | 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 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27662 a prime number?
No. 27662 = 2 × 13831, so it is divisible by 2.
What are the factors of 27662?
1, 2, 13831, 27662.
What is 27662 in binary?
110110000001110 (hexadecimal 6C0E, octal 66016).
What is the square root of 27662?
About 166.3190.
Is 27662 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 27662?
27662 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 13831, the product of two primes.