The number 23967
23967 is a composite number with 6 divisors. Its prime factorisation is × 2663. Divisors (6): 1, 3, 9, 2663, 7989, 23967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23967 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23967 is composite. Its prime factorisation is
- 3
The divisors add up to 34632; without 23967 itself that is 10665, so 23967 is deficient (10665 is less than 23967). Euler's totient φ(23967) = 15972 numbers up to 23967 share no factor with it.
- 4
The digits of 23967 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 100 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23967 = 3^{2} \times 2663 \]23967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 34632 |
| Euler totient φ(n) | 15972 |
| Square | 574417089 |
| Cube | 13767054372063 |
| Square root | 154.812790 (= 3√2663) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 100 |
| Scientific notation | 2.3967 × |
23967 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand nine hundred and sixty-seven |
| Binary (base 2) | 101110110011111 |
| Octal (base 8) | 56637 |
| Hexadecimal (base 16) | 5D9F |
| Base 3 | 1012212200 |
| As time | 23967 seconds = 6 h 39 min 27 s |
Is 23967 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23967 ÷ 3 = 7989) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (23967 ÷ 9 = 2663) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23967 a prime number?
No. 23967 = × 2663, so it is divisible by 3.
What are the factors of 23967?
1, 3, 9, 2663, 7989, 23967.
What is 23967 in binary?
101110110011111 (hexadecimal 5D9F, octal 56637).
What is the square root of 23967?
About 154.8128, exactly 3√2663.
Is 23967 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 23967?
It is a composite number with 6 divisors.