The number 23067
23067 is a composite number with 12 divisors. Its prime factorisation is × 11 × 233. Divisors (12): 1, 3, 9, 11, 33, 99, 233, 699, 2097, 2563, 7689, 23067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23067 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23067 is composite. Its prime factorisation is
- 3
The divisors add up to 36504; without 23067 itself that is 13437, so 23067 is deficient (13437 is less than 23067). Euler's totient φ(23067) = 13920 numbers up to 23067 share no factor with it.
- 4
The digits of 23067 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 175 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23067 = 3^{2} \times 11 \times 233 \]23067 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 36504 |
| Euler totient φ(n) | 13920 |
| Square | 532086489 |
| Cube | 12273639041763 |
| Square root | 151.878241 (= 3√2563) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 175 |
| Scientific notation | 2.3067 × |
23067 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand and sixty-seven |
| Binary (base 2) | 101101000011011 |
| Octal (base 8) | 55033 |
| Hexadecimal (base 16) | 5A1B |
| Base 3 | 1011122100 |
| As time | 23067 seconds = 6 h 24 min 27 s |
Is 23067 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 (23067 ÷ 3 = 7689) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (23067 ÷ 9 = 2563) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (23067 ÷ 11 = 2097) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23067 a prime number?
No. 23067 = × 11 × 233, so it is divisible by 3.
What are the factors of 23067?
1, 3, 9, 11, 33, 99, 233, 699, 2097, 2563, 7689, 23067.
What is 23067 in binary?
101101000011011 (hexadecimal 5A1B, octal 55033).
What is the square root of 23067?
About 151.8782, exactly 3√2563.
Is 23067 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 23067?
It is a composite number with 12 divisors.