The number 23748
23748 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1979. Divisors (12): 1, 2, 3, 4, 6, 12, 1979, 3958, 5937, 7916, 11874, 23748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23748 is composite. Its prime factorisation is
- 3
The divisors add up to 55440; without 23748 itself that is 31692, so 23748 is abundant (31692 is more than 23748). Euler's totient φ(23748) = 7912 numbers up to 23748 share no factor with it.
- 4
The digits of 23748 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23748 = 2^{2} \times 3 \times 1979 \]23748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 55440 |
| Euler totient φ(n) | 7912 |
| Square | 563967504 |
| Cube | 13393100284992 |
| Square root | 154.103861 (= 2√5937) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.3748 × |
23748 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand seven hundred and forty-eight |
| Binary (base 2) | 101110011000100 |
| Octal (base 8) | 56304 |
| Hexadecimal (base 16) | 5CC4 |
| Base 3 | 1012120120 |
| As time | 23748 seconds = 6 h 35 min 48 s |
Is 23748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23748 ÷ 2 = 11874) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23748 ÷ 3 = 7916) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23748 ÷ 4 = 5937) | 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 (23748 ÷ 6 = 3958) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 (23748 ÷ 12 = 1979) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23748 a prime number?
No. 23748 = × 3 × 1979, so it is divisible by 2.
What are the factors of 23748?
1, 2, 3, 4, 6, 12, 1979, 3958, 5937, 7916, 11874, 23748.
What is 23748 in binary?
101110011000100 (hexadecimal 5CC4, octal 56304).
What is the square root of 23748?
About 154.1039, exactly 2√5937.
Is 23748 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 23748?
It is a composite number with 12 divisors.