The number 23008
23008 is a composite number with 12 divisors. Its prime factorisation is × 719. Divisors (12): 1, 2, 4, 8, 16, 32, 719, 1438, 2876, 5752, 11504, 23008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23008 is composite. Its prime factorisation is
- 3
The divisors add up to 45360; without 23008 itself that is 22352, so 23008 is deficient (22352 is less than 23008). Euler's totient φ(23008) = 11488 numbers up to 23008 share no factor with it.
- 4
The digits of 23008 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23008 = 2^{5} \times 719 \]23008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 45360 |
| Euler totient φ(n) | 11488 |
| Square | 529368064 |
| Cube | 12179700416512 |
| Square root | 151.683882 (= 4√1438) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.3008 × |
23008 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand and eight |
| Binary (base 2) | 101100111100000 |
| Octal (base 8) | 54740 |
| Hexadecimal (base 16) | 59E0 |
| Base 3 | 1011120011 |
| As time | 23008 seconds = 6 h 23 min 28 s |
Is 23008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23008 ÷ 2 = 11504) | 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 (23008 ÷ 4 = 5752) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (23008 ÷ 8 = 2876) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 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 23008 a prime number?
No. 23008 = × 719, so it is divisible by 2.
What are the factors of 23008?
1, 2, 4, 8, 16, 32, 719, 1438, 2876, 5752, 11504, 23008.
What is 23008 in binary?
101100111100000 (hexadecimal 59E0, octal 54740).
What is the square root of 23008?
About 151.6839, exactly 4√1438.
Is 23008 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 23008?
It is a composite number with 12 divisors.