The number 27621
27621 is a composite number with 20 divisors. Its prime factorisation is × 11 × 31. Divisors (20): 1, 3, 9, 11, 27, 31, 33, 81, 93, 99, 279, 297, 341, 837, 891, 1023 … 27621.
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How to work it out
- 1
What is special about 27621: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27621 is composite. Its prime factorisation is
- 3
The divisors add up to 46464; without 27621 itself that is 18843, so 27621 is deficient (18843 is less than 27621). Euler's totient φ(27621) = 16200 numbers up to 27621 share no factor with it.
- 4
The digits of 27621 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 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27621 = 3^{4} \times 11 \times 31 \]27621 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 46464 |
| Euler totient φ(n) | 16200 |
| Square | 762919641 |
| Cube | 21072603404061 |
| Square root | 166.195668 (= 9√341) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.7621 × |
27621 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand six hundred and twenty-one |
| Binary (base 2) | 110101111100101 |
| Octal (base 8) | 65745 |
| Hexadecimal (base 16) | 6BE5 |
| Base 3 | 1101220000 |
| As time | 27621 seconds = 7 h 40 min 21 s |
Is 27621 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 (27621 ÷ 3 = 9207) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27621 ÷ 9 = 3069) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (27621 ÷ 11 = 2511) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27621 a prime number?
No. 27621 = × 11 × 31, so it is divisible by 3.
What are the factors of 27621?
1, 3, 9, 11, 27, 31, 33, 81, 93, 99, 279, 297, 341, 837, 891, 1023, 2511, 3069, 9207, 27621.
What is 27621 in binary?
110101111100101 (hexadecimal 6BE5, octal 65745).
What is the square root of 27621?
About 166.1957, exactly 9√341.
Is 27621 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27621?
27621 is a happy number: repeatedly adding the squares of its digits reaches 1.