The number 23982
23982 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 571. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 571, 1142, 1713, 3426, 3997, 7994, 11991, 23982.
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How to work it out
- 1
23982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23982 is composite. Its prime factorisation is
- 3
The divisors add up to 54912; without 23982 itself that is 30930, so 23982 is abundant (30930 is more than 23982). Euler's totient φ(23982) = 6840 numbers up to 23982 share no factor with it.
- 4
The digits of 23982 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 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23982 = 2 \times 3 \times 7 \times 571 \]
23982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 54912 |
| Euler totient φ(n) | 6840 |
| Square | 575136324 |
| Cube | 13792919322168 |
| Square root | 154.861228 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.3982 × |
23982 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand nine hundred and eighty-two |
| Binary (base 2) | 101110110101110 |
| Octal (base 8) | 56656 |
| Hexadecimal (base 16) | 5DAE |
| Base 3 | 1012220020 |
| As time | 23982 seconds = 6 h 39 min 42 s |
Is 23982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23982 ÷ 2 = 11991) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23982 ÷ 3 = 7994) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (23982 ÷ 6 = 3997) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (23982 ÷ 7 = 3426) | 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23982 a prime number?
No. 23982 = 2 × 3 × 7 × 571, so it is divisible by 2.
What are the factors of 23982?
1, 2, 3, 6, 7, 14, 21, 42, 571, 1142, 1713, 3426, 3997, 7994, 11991, 23982.
What is 23982 in binary?
101110110101110 (hexadecimal 5DAE, octal 56656).
What is the square root of 23982?
About 154.8612.
Is 23982 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 23982?
It is a composite number with 16 divisors.