The number 24064
24064 is a composite number with 20 divisors. Its prime factorisation is × 47. Divisors (20): 1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 256, 376, 512, 752, 1504 … 24064.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24064: a Harshad number: divisible by its digit sum 16.
- 2
24064 is composite. Its prime factorisation is
- 3
The divisors add up to 49104; without 24064 itself that is 25040, so 24064 is abundant (25040 is more than 24064). Euler's totient φ(24064) = 11776 numbers up to 24064 share no factor with it.
- 4
The digits of 24064 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24064 = 2^{9} \times 47 \]24064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 49104 |
| Euler totient φ(n) | 11776 |
| Square | 579076096 |
| Cube | 13934887174144 |
| Square root | 155.125755 (= 16√94) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 113 |
| Scientific notation | 2.4064 × |
24064 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and sixty-four |
| Binary (base 2) | 101111000000000 |
| Octal (base 8) | 57000 |
| Hexadecimal (base 16) | 5E00 |
| Base 3 | 1020000021 |
| As time | 24064 seconds = 6 h 41 min 4 s |
Is 24064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24064 ÷ 2 = 12032) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24064 ÷ 4 = 6016) | 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 4) | 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 | Yes (24064 ÷ 8 = 3008) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24064 a prime number?
No. 24064 = × 47, so it is divisible by 2.
What are the factors of 24064?
1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 256, 376, 512, 752, 1504, 3008, 6016, 12032, 24064.
What is 24064 in binary?
101111000000000 (hexadecimal 5E00, octal 57000).
What is the square root of 24064?
About 155.1258, exactly 16√94.
Is 24064 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 24064?
24064 is a Harshad number: divisible by its digit sum 16.