The number 27742
27742 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 13 × 97. Divisors (16): 1, 2, 11, 13, 22, 26, 97, 143, 194, 286, 1067, 1261, 2134, 2522, 13871, 27742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27742: a Harshad number: divisible by its digit sum 22.
- 2
27742 is composite. Its prime factorisation is
- 3
The divisors add up to 49392; without 27742 itself that is 21650, so 27742 is deficient (21650 is less than 27742). Euler's totient φ(27742) = 11520 numbers up to 27742 share no factor with it.
- 4
The digits of 27742 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27742 = 2 \times 11 \times 13 \times 97 \]
27742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 49392 |
| Euler totient φ(n) | 11520 |
| Square | 769618564 |
| Cube | 21350758202488 |
| Square root | 166.559299 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.7742 × |
27742 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and forty-two |
| Binary (base 2) | 110110001011110 |
| Octal (base 8) | 66136 |
| Hexadecimal (base 16) | 6C5E |
| Base 3 | 1102001111 |
| As time | 27742 seconds = 7 h 42 min 22 s |
Is 27742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27742 ÷ 2 = 13871) | 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 | No (remainder 2) | 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 1) | 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 4) | 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 | Yes (27742 ÷ 11 = 2522) | 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 27742 a prime number?
No. 27742 = 2 × 11 × 13 × 97, so it is divisible by 2.
What are the factors of 27742?
1, 2, 11, 13, 22, 26, 97, 143, 194, 286, 1067, 1261, 2134, 2522, 13871, 27742.
What is 27742 in binary?
110110001011110 (hexadecimal 6C5E, octal 66136).
What is the square root of 27742?
About 166.5593.
Is 27742 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27742?
27742 is a Harshad number: divisible by its digit sum 22.