The number 23024
23024 is a composite number with 10 divisors. Its prime factorisation is × 1439. Divisors (10): 1, 2, 4, 8, 16, 1439, 2878, 5756, 11512, 23024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23024 is composite. Its prime factorisation is
- 3
The divisors add up to 44640; without 23024 itself that is 21616, so 23024 is deficient (21616 is less than 23024). Euler's totient φ(23024) = 11504 numbers up to 23024 share no factor with it.
- 4
The digits of 23024 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23024 = 2^{4} \times 1439 \]23024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 44640 |
| Euler totient φ(n) | 11504 |
| Square | 530104576 |
| Cube | 12205127757824 |
| Square root | 151.736614 (= 4√1439) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.3024 × |
23024 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand and twenty-four |
| Binary (base 2) | 101100111110000 |
| Octal (base 8) | 54760 |
| Hexadecimal (base 16) | 59F0 |
| Base 3 | 1011120202 |
| As time | 23024 seconds = 6 h 23 min 44 s |
Is 23024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23024 ÷ 2 = 11512) | 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 (23024 ÷ 4 = 5756) | 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 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 | Yes (23024 ÷ 8 = 2878) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 1) | 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 23024 a prime number?
No. 23024 = × 1439, so it is divisible by 2.
What are the factors of 23024?
1, 2, 4, 8, 16, 1439, 2878, 5756, 11512, 23024.
What is 23024 in binary?
101100111110000 (hexadecimal 59F0, octal 54760).
What is the square root of 23024?
About 151.7366, exactly 4√1439.
Is 23024 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 23024?
It is a composite number with 10 divisors.