The number 27642
27642 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 271. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 271, 542, 813, 1626, 4607, 9214, 13821, 27642.
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How to work it out
- 1
What is special about 27642: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27642 is composite. Its prime factorisation is
- 3
The divisors add up to 58752; without 27642 itself that is 31110, so 27642 is abundant (31110 is more than 27642). Euler's totient φ(27642) = 8640 numbers up to 27642 share no factor with it.
- 4
The digits of 27642 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27642 = 2 \times 3 \times 17 \times 271 \]
27642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 58752 |
| Euler totient φ(n) | 8640 |
| Square | 764080164 |
| Cube | 21120703893288 |
| Square root | 166.258834 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7642 × |
27642 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand six hundred and forty-two |
| Binary (base 2) | 110101111111010 |
| Octal (base 8) | 65772 |
| Hexadecimal (base 16) | 6BFA |
| Base 3 | 1101220210 |
| As time | 27642 seconds = 7 h 40 min 42 s |
Is 27642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27642 ÷ 2 = 13821) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27642 ÷ 3 = 9214) | 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 | Yes (27642 ÷ 6 = 4607) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27642 a prime number?
No. 27642 = 2 × 3 × 17 × 271, so it is divisible by 2.
What are the factors of 27642?
1, 2, 3, 6, 17, 34, 51, 102, 271, 542, 813, 1626, 4607, 9214, 13821, 27642.
What is 27642 in binary?
110101111111010 (hexadecimal 6BFA, octal 65772).
What is the square root of 27642?
About 166.2588.
Is 27642 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 27642?
27642 is a happy number: repeatedly adding the squares of its digits reaches 1.