The number 9986
9986 is a composite number with 4 divisors. Its prime factorisation is 2 × 4993. Divisors (4): 1, 2, 4993, 9986.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9986: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 4993, the product of two primes.
- 2
9986 is composite. Its prime factorisation is
- 3
The divisors add up to 14982; without 9986 itself that is 4996, so 9986 is deficient (4996 is less than 9986). Euler's totient φ(9986) = 4992 numbers up to 9986 share no factor with it.
- 4
The digits of 9986 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9986 = 2 \times 4993 \]
9986 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14982 |
| Euler totient φ(n) | 4992 |
| Square | 99720196 |
| Cube | 995805877256 |
| Square root | 99.929975 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 166 |
| Scientific notation | 9.986 × |
9986 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and eighty-six |
| Binary (base 2) | 10011100000010 |
| Octal (base 8) | 23402 |
| Hexadecimal (base 16) | 2702 |
| Base 3 | 111200212 |
| As time | 9986 seconds = 2 h 46 min 26 s |
Is 9986 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9986 ÷ 2 = 4993) | 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 | No (remainder 2) | 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 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9986 a prime number?
No. 9986 = 2 × 4993, so it is divisible by 2.
What are the factors of 9986?
1, 2, 4993, 9986.
What is 9986 in binary?
10011100000010 (hexadecimal 2702, octal 23402).
What is the square root of 9986?
About 99.9300.
Is 9986 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 9986?
9986 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 4993, the product of two primes.