The number 27459
27459 is a composite number with 12 divisors. Its prime factorisation is × 113. Divisors (12): 1, 3, 9, 27, 81, 113, 243, 339, 1017, 3051, 9153, 27459.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27459: a Harshad number: divisible by its digit sum 27.
- 2
27459 is composite. Its prime factorisation is
- 3
The divisors add up to 41496; without 27459 itself that is 14037, so 27459 is deficient (14037 is less than 27459). Euler's totient φ(27459) = 18144 numbers up to 27459 share no factor with it.
- 4
The digits of 27459 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27459 = 3^{5} \times 113 \]27459 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 41496 |
| Euler totient φ(n) | 18144 |
| Square | 753996681 |
| Cube | 20703994863579 |
| Square root | 165.707574 (= 9√339) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7459 × |
27459 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and fifty-nine |
| Binary (base 2) | 110101101000011 |
| Octal (base 8) | 65503 |
| Hexadecimal (base 16) | 6B43 |
| Base 3 | 1101200000 |
| As time | 27459 seconds = 7 h 37 min 39 s |
Is 27459 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 (27459 ÷ 3 = 9153) | 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 4) | 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 5) | 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 (27459 ÷ 9 = 3051) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27459 a prime number?
No. 27459 = × 113, so it is divisible by 3.
What are the factors of 27459?
1, 3, 9, 27, 81, 113, 243, 339, 1017, 3051, 9153, 27459.
What is 27459 in binary?
110101101000011 (hexadecimal 6B43, octal 65503).
What is the square root of 27459?
About 165.7076, exactly 9√339.
Is 27459 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 27459?
27459 is a Harshad number: divisible by its digit sum 27.