The number 23168
23168 is a composite number with 16 divisors. Its prime factorisation is × 181. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 181, 362, 724, 1448, 2896, 5792, 11584, 23168.
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How to work it out
- 1
23168 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23168 is composite. Its prime factorisation is
- 3
The divisors add up to 46410; without 23168 itself that is 23242, so 23168 is abundant (23242 is more than 23168). Euler's totient φ(23168) = 11520 numbers up to 23168 share no factor with it.
- 4
The digits of 23168 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23168 = 2^{7} \times 181 \]23168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 46410 |
| Euler totient φ(n) | 11520 |
| Square | 536756224 |
| Cube | 12435568197632 |
| Square root | 152.210381 (= 8√362) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 25 |
| Scientific notation | 2.3168 × |
23168 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand one hundred and sixty-eight |
| Binary (base 2) | 101101010000000 |
| Octal (base 8) | 55200 |
| Hexadecimal (base 16) | 5A80 |
| Base 3 | 1011210002 |
| As time | 23168 seconds = 6 h 26 min 8 s |
Is 23168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23168 ÷ 2 = 11584) | 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 (23168 ÷ 4 = 5792) | 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 | No (remainder 2) | 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 (23168 ÷ 8 = 2896) | 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 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23168 a prime number?
No. 23168 = × 181, so it is divisible by 2.
What are the factors of 23168?
1, 2, 4, 8, 16, 32, 64, 128, 181, 362, 724, 1448, 2896, 5792, 11584, 23168.
What is 23168 in binary?
101101010000000 (hexadecimal 5A80, octal 55200).
What is the square root of 23168?
About 152.2104, exactly 8√362.
Is 23168 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 23168?
It is a composite number with 16 divisors.