The number 27464
27464 is a composite number with 8 divisors. Its prime factorisation is × 3433. Divisors (8): 1, 2, 4, 8, 3433, 6866, 13732, 27464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27464 is composite. Its prime factorisation is
- 3
The divisors add up to 51510; without 27464 itself that is 24046, so 27464 is deficient (24046 is less than 27464). Euler's totient φ(27464) = 13728 numbers up to 27464 share no factor with it.
- 4
The digits of 27464 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27464 = 2^{3} \times 3433 \]27464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 51510 |
| Euler totient φ(n) | 13728 |
| Square | 754271296 |
| Cube | 20715306873344 |
| Square root | 165.722660 (= 2√6866) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7464 × |
27464 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and sixty-four |
| Binary (base 2) | 110101101001000 |
| Octal (base 8) | 65510 |
| Hexadecimal (base 16) | 6B48 |
| Base 3 | 1101200012 |
| As time | 27464 seconds = 7 h 37 min 44 s |
Is 27464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27464 ÷ 2 = 13732) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27464 ÷ 4 = 6866) | 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 2) | 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 | Yes (27464 ÷ 8 = 3433) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27464 a prime number?
No. 27464 = × 3433, so it is divisible by 2.
What are the factors of 27464?
1, 2, 4, 8, 3433, 6866, 13732, 27464.
What is 27464 in binary?
110101101001000 (hexadecimal 6B48, octal 65510).
What is the square root of 27464?
About 165.7227, exactly 2√6866.
Is 27464 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 27464?
It is a composite number with 8 divisors.