The number 23088
23088 is a composite number with 40 divisors. Its prime factorisation is × 3 × 13 × 37. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 37, 39, 48, 52, 74 … 23088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23088 is composite. Its prime factorisation is
- 3
The divisors add up to 65968; without 23088 itself that is 42880, so 23088 is abundant (42880 is more than 23088). Euler's totient φ(23088) = 6912 numbers up to 23088 share no factor with it.
- 4
The digits of 23088 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23088 = 2^{4} \times 3 \times 13 \times 37 \]23088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 65968 |
| Euler totient φ(n) | 6912 |
| Square | 533055744 |
| Cube | 12307191017472 |
| Square root | 151.947359 (= 4√1443) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.3088 × |
23088 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand and eighty-eight |
| Binary (base 2) | 101101000110000 |
| Octal (base 8) | 55060 |
| Hexadecimal (base 16) | 5A30 |
| Base 3 | 1011200010 |
| As time | 23088 seconds = 6 h 24 min 48 s |
Is 23088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23088 ÷ 2 = 11544) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23088 ÷ 3 = 7696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23088 ÷ 4 = 5772) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (23088 ÷ 6 = 3848) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (23088 ÷ 8 = 2886) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (23088 ÷ 12 = 1924) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23088 a prime number?
No. 23088 = × 3 × 13 × 37, so it is divisible by 2.
What are the factors of 23088?
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 37, 39, 48, 52, 74, 78, 104, 111, 148, 156, 208, 222, 296, 312, 444, 481, 592, 624, 888, 962, 1443, 1776, 1924, 2886, 3848, 5772, 7696, 11544, 23088.
What is 23088 in binary?
101101000110000 (hexadecimal 5A30, octal 55060).
What is the square root of 23088?
About 151.9474, exactly 4√1443.
Is 23088 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 23088?
It is a composite number with 40 divisors.