The number 21627
21627 is a composite number with 12 divisors. Its prime factorisation is × 89. Divisors (12): 1, 3, 9, 27, 81, 89, 243, 267, 801, 2403, 7209, 21627.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 21627: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
21627 is composite. Its prime factorisation is
- 3
The divisors add up to 32760; without 21627 itself that is 11133, so 21627 is deficient (11133 is less than 21627). Euler's totient φ(21627) = 14256 numbers up to 21627 share no factor with it.
- 4
The digits of 21627 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 149 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21627 = 3^{5} \times 89 \]21627 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 32760 |
| Euler totient φ(n) | 14256 |
| Square | 467727129 |
| Cube | 10115534618883 |
| Square root | 147.061212 (= 9√267) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 149 |
| Scientific notation | 2.1627 × |
21627 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand six hundred and twenty-seven |
| Binary (base 2) | 101010001111011 |
| Octal (base 8) | 52173 |
| Hexadecimal (base 16) | 547B |
| Base 3 | 1002200000 |
| As time | 21627 seconds = 6 h 0 min 27 s |
Is 21627 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (21627 ÷ 3 = 7209) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (21627 ÷ 9 = 2403) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21627 a prime number?
No. 21627 = × 89, so it is divisible by 3.
What are the factors of 21627?
1, 3, 9, 27, 81, 89, 243, 267, 801, 2403, 7209, 21627.
What is 21627 in binary?
101010001111011 (hexadecimal 547B, octal 52173).
What is the square root of 21627?
About 147.0612, exactly 9√267.
Is 21627 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 21627?
21627 is a happy number: repeatedly adding the squares of its digits reaches 1.