The number 23996
23996 is a composite number with 12 divisors. Its prime factorisation is × 7 × 857. Divisors (12): 1, 2, 4, 7, 14, 28, 857, 1714, 3428, 5999, 11998, 23996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23996 is composite. Its prime factorisation is
- 3
The divisors add up to 48048; without 23996 itself that is 24052, so 23996 is abundant (24052 is more than 23996). Euler's totient φ(23996) = 10272 numbers up to 23996 share no factor with it.
- 4
The digits of 23996 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 188 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23996 = 2^{2} \times 7 \times 857 \]23996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 48048 |
| Euler totient φ(n) | 10272 |
| Square | 575808016 |
| Cube | 13817089151936 |
| Square root | 154.906423 (= 2√5999) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 188 |
| Scientific notation | 2.3996 × |
23996 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand nine hundred and ninety-six |
| Binary (base 2) | 101110110111100 |
| Octal (base 8) | 56674 |
| Hexadecimal (base 16) | 5DBC |
| Base 3 | 1012220202 |
| As time | 23996 seconds = 6 h 39 min 56 s |
Is 23996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23996 ÷ 2 = 11998) | 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 (23996 ÷ 4 = 5999) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (23996 ÷ 7 = 3428) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 23996 a prime number?
No. 23996 = × 7 × 857, so it is divisible by 2.
What are the factors of 23996?
1, 2, 4, 7, 14, 28, 857, 1714, 3428, 5999, 11998, 23996.
What is 23996 in binary?
101110110111100 (hexadecimal 5DBC, octal 56674).
What is the square root of 23996?
About 154.9064, exactly 2√5999.
Is 23996 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 23996?
It is a composite number with 12 divisors.