The number 27261
27261 is a triangular number: 1 + 2 + … + 233 = 27261. Its prime factorisation is × 13 × 233. Divisors (12): 1, 3, 9, 13, 39, 117, 233, 699, 2097, 3029, 9087, 27261.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27261: a triangular number: 1 + 2 + … + 233 = 27261; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27261 is composite. Its prime factorisation is
- 3
The divisors add up to 42588; without 27261 itself that is 15327, so 27261 is deficient (15327 is less than 27261). Euler's totient φ(27261) = 16704 numbers up to 27261 share no factor with it.
- 4
The digits of 27261 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 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27261 = 3^{2} \times 13 \times 233 \]27261 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 42588 |
| Euler totient φ(n) | 16704 |
| Square | 743162121 |
| Cube | 20259342580581 |
| Square root | 165.109055 (= 3√3029) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.7261 × |
27261 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and sixty-one |
| Binary (base 2) | 110101001111101 |
| Octal (base 8) | 65175 |
| Hexadecimal (base 16) | 6A7D |
| Base 3 | 1101101200 |
| As time | 27261 seconds = 7 h 34 min 21 s |
Is 27261 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 (27261 ÷ 3 = 9087) | 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 3) | 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 (27261 ÷ 9 = 3029) | 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 | No (remainder 3) | 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 27261 a prime number?
No. 27261 = × 13 × 233, so it is divisible by 3.
What are the factors of 27261?
1, 3, 9, 13, 39, 117, 233, 699, 2097, 3029, 9087, 27261.
What is 27261 in binary?
110101001111101 (hexadecimal 6A7D, octal 65175).
What is the square root of 27261?
About 165.1091, exactly 3√3029.
Is 27261 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27261?
27261 is a triangular number: 1 + 2 + … + 233 = 27261; a happy number: repeatedly adding the squares of its digits reaches 1.