The number 23984
23984 is a composite number with 10 divisors. Its prime factorisation is × 1499. Divisors (10): 1, 2, 4, 8, 16, 1499, 2998, 5996, 11992, 23984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23984 is composite. Its prime factorisation is
- 3
The divisors add up to 46500; without 23984 itself that is 22516, so 23984 is deficient (22516 is less than 23984). Euler's totient φ(23984) = 11984 numbers up to 23984 share no factor with it.
- 4
The digits of 23984 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23984 = 2^{4} \times 1499 \]23984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 46500 |
| Euler totient φ(n) | 11984 |
| Square | 575232256 |
| Cube | 13796370427904 |
| Square root | 154.867685 (= 4√1499) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.3984 × |
23984 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand nine hundred and eighty-four |
| Binary (base 2) | 101110110110000 |
| Octal (base 8) | 56660 |
| Hexadecimal (base 16) | 5DB0 |
| Base 3 | 1012220022 |
| As time | 23984 seconds = 6 h 39 min 44 s |
Is 23984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23984 ÷ 2 = 11992) | 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 (23984 ÷ 4 = 5996) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 | Yes (23984 ÷ 8 = 2998) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 23984 a prime number?
No. 23984 = × 1499, so it is divisible by 2.
What are the factors of 23984?
1, 2, 4, 8, 16, 1499, 2998, 5996, 11992, 23984.
What is 23984 in binary?
101110110110000 (hexadecimal 5DB0, octal 56660).
What is the square root of 23984?
About 154.8677, exactly 4√1499.
Is 23984 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 23984?
It is a composite number with 10 divisors.