The number 24165
24165 is a composite number with 16 divisors. Its prime factorisation is × 5 × 179. Divisors (16): 1, 3, 5, 9, 15, 27, 45, 135, 179, 537, 895, 1611, 2685, 4833, 8055, 24165.
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How to work it out
- 1
What is special about 24165: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
24165 is composite. Its prime factorisation is
- 3
The divisors add up to 43200; without 24165 itself that is 19035, so 24165 is deficient (19035 is less than 24165). Euler's totient φ(24165) = 12816 numbers up to 24165 share no factor with it.
- 4
The digits of 24165 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 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24165 = 3^{3} \times 5 \times 179 \]24165 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 43200 |
| Euler totient φ(n) | 12816 |
| Square | 583947225 |
| Cube | 14111084692125 |
| Square root | 155.450957 (= 3√2685) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 69 |
| Scientific notation | 2.4165 × |
24165 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand one hundred and sixty-five |
| Binary (base 2) | 101111001100101 |
| Octal (base 8) | 57145 |
| Hexadecimal (base 16) | 5E65 |
| Base 3 | 1020011000 |
| As time | 24165 seconds = 6 h 42 min 45 s |
Is 24165 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 (24165 ÷ 3 = 8055) | 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 | Yes (24165 ÷ 5 = 4833) | 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 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 | Yes (24165 ÷ 9 = 2685) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 24165 a prime number?
No. 24165 = × 5 × 179, so it is divisible by 3.
What are the factors of 24165?
1, 3, 5, 9, 15, 27, 45, 135, 179, 537, 895, 1611, 2685, 4833, 8055, 24165.
What is 24165 in binary?
101111001100101 (hexadecimal 5E65, octal 57145).
What is the square root of 24165?
About 155.4510, exactly 3√2685.
Is 24165 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 24165?
24165 is a happy number: repeatedly adding the squares of its digits reaches 1.