The number 9992
9992 is a composite number with 8 divisors. Its prime factorisation is × 1249. Divisors (8): 1, 2, 4, 8, 1249, 2498, 4996, 9992.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9992 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9992 is composite. Its prime factorisation is
- 3
The divisors add up to 18750; without 9992 itself that is 8758, so 9992 is deficient (8758 is less than 9992). Euler's totient φ(9992) = 4992 numbers up to 9992 share no factor with it.
- 4
The digits of 9992 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 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9992 = 2^{3} \times 1249 \]9992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 18750 |
| Euler totient φ(n) | 4992 |
| Square | 99840064 |
| Cube | 997601919488 |
| Square root | 99.959992 (= 2√2498) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 179 |
| Scientific notation | 9.992 × |
9992 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and ninety-two |
| Binary (base 2) | 10011100001000 |
| Octal (base 8) | 23410 |
| Hexadecimal (base 16) | 2708 |
| Base 3 | 111201002 |
| As time | 9992 seconds = 2 h 46 min 32 s |
Is 9992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9992 ÷ 2 = 4996) | 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 (9992 ÷ 4 = 2498) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (9992 ÷ 8 = 1249) | 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 2) | 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 9992 a prime number?
No. 9992 = × 1249, so it is divisible by 2.
What are the factors of 9992?
1, 2, 4, 8, 1249, 2498, 4996, 9992.
What is 9992 in binary?
10011100001000 (hexadecimal 2708, octal 23410).
What is the square root of 9992?
About 99.9600, exactly 2√2498.
Is 9992 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 9992?
It is a composite number with 8 divisors.