The number 23048
23048 is a composite number with 16 divisors. Its prime factorisation is × 43 × 67. Divisors (16): 1, 2, 4, 8, 43, 67, 86, 134, 172, 268, 344, 536, 2881, 5762, 11524, 23048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23048 is composite. Its prime factorisation is
- 3
The divisors add up to 44880; without 23048 itself that is 21832, so 23048 is deficient (21832 is less than 23048). Euler's totient φ(23048) = 11088 numbers up to 23048 share no factor with it.
- 4
The digits of 23048 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23048 = 2^{3} \times 43 \times 67 \]23048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 44880 |
| Euler totient φ(n) | 11088 |
| Square | 531210304 |
| Cube | 12243335086592 |
| Square root | 151.815678 (= 2√5762) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.3048 × |
23048 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand and forty-eight |
| Binary (base 2) | 101101000001000 |
| Octal (base 8) | 55010 |
| Hexadecimal (base 16) | 5A08 |
| Base 3 | 1011121122 |
| As time | 23048 seconds = 6 h 24 min 8 s |
Is 23048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23048 ÷ 2 = 11524) | 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 (23048 ÷ 4 = 5762) | 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 4) | 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 (23048 ÷ 8 = 2881) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 3) | 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 23048 a prime number?
No. 23048 = × 43 × 67, so it is divisible by 2.
What are the factors of 23048?
1, 2, 4, 8, 43, 67, 86, 134, 172, 268, 344, 536, 2881, 5762, 11524, 23048.
What is 23048 in binary?
101101000001000 (hexadecimal 5A08, octal 55010).
What is the square root of 23048?
About 151.8157, exactly 2√5762.
Is 23048 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 23048?
It is a composite number with 16 divisors.