The number 24389
24389 is a perfect cube (). Its prime factorisation is . Divisors (4): 1, 29, 841, 24389.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24389: a perfect cube ().
- 2
24389 is composite. Its prime factorisation is
- 3
The divisors add up to 25260; without 24389 itself that is 871, so 24389 is deficient (871 is less than 24389). Euler's totient φ(24389) = 23548 numbers up to 24389 share no factor with it.
- 4
The digits of 24389 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24389 = 29^{3} \]24389 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 25260 |
| Euler totient φ(n) | 23548 |
| Square | 594823321 |
| Cube | 14507145975869 |
| Square root | 156.169779 (= 29√29) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.4389 × |
| Perfect power |
24389 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand three hundred and eighty-nine |
| Binary (base 2) | 101111101000101 |
| Octal (base 8) | 57505 |
| Hexadecimal (base 16) | 5F45 |
| Base 3 | 1020110022 |
| As time | 24389 seconds = 6 h 46 min 29 s |
Is 24389 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 | No (remainder 2) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 8) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24389 a prime number?
No. 24389 = , so it is divisible by 29.
What are the factors of 24389?
1, 29, 841, 24389.
What is 24389 in binary?
101111101000101 (hexadecimal 5F45, octal 57505).
What is the square root of 24389?
About 156.1698, exactly 29√29.
Is 24389 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 24389?
24389 is a perfect cube ().