The number 23988
23988 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1999. Divisors (12): 1, 2, 3, 4, 6, 12, 1999, 3998, 5997, 7996, 11994, 23988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23988 is composite. Its prime factorisation is
- 3
The divisors add up to 56000; without 23988 itself that is 32012, so 23988 is abundant (32012 is more than 23988). Euler's totient φ(23988) = 7992 numbers up to 23988 share no factor with it.
- 4
The digits of 23988 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23988 = 2^{2} \times 3 \times 1999 \]23988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 56000 |
| Euler totient φ(n) | 7992 |
| Square | 575424144 |
| Cube | 13803274366272 |
| Square root | 154.880599 (= 2√5997) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.3988 × |
23988 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand nine hundred and eighty-eight |
| Binary (base 2) | 101110110110100 |
| Octal (base 8) | 56664 |
| Hexadecimal (base 16) | 5DB4 |
| Base 3 | 1012220110 |
| As time | 23988 seconds = 6 h 39 min 48 s |
Is 23988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23988 ÷ 2 = 11994) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23988 ÷ 3 = 7996) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23988 ÷ 4 = 5997) | 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 (23988 ÷ 6 = 3998) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (23988 ÷ 12 = 1999) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23988 a prime number?
No. 23988 = × 3 × 1999, so it is divisible by 2.
What are the factors of 23988?
1, 2, 3, 4, 6, 12, 1999, 3998, 5997, 7996, 11994, 23988.
What is 23988 in binary?
101110110110100 (hexadecimal 5DB4, octal 56664).
What is the square root of 23988?
About 154.8806, exactly 2√5997.
Is 23988 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 23988?
It is a composite number with 12 divisors.