The number 986
986 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 29. Divisors (8): 1, 2, 17, 29, 34, 58, 493, 986.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
986 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
986 is composite. Its prime factorisation is
- 3
The divisors add up to 1620; without 986 itself that is 634, so 986 is deficient (634 is less than 986). Euler's totient φ(986) = 448 numbers up to 986 share no factor with it.
- 4
The digits of 986 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 986 = 2 \times 17 \times 29 \]
986 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1620 |
| Euler totient φ(n) | 448 |
| Square | 972196 |
| Cube | 958585256 |
| Square root | 31.400637 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 49 |
| Scientific notation | 9.86 × |
986 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and eighty-six |
| Roman numerals | CMLXXXVI |
| Binary (base 2) | 1111011010 |
| Octal (base 8) | 1732 |
| Hexadecimal (base 16) | 3DA |
| Base 3 | 1100112 |
| As time | 986 seconds = 16 min 26 s |
Is 986 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (986 ÷ 2 = 493) | 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 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 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 7) | 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 986 a prime number?
No. 986 = 2 × 17 × 29, so it is divisible by 2.
What are the factors of 986?
1, 2, 17, 29, 34, 58, 493, 986.
What is 986 in binary?
1111011010 (hexadecimal 3DA, octal 1732).
What is the square root of 986?
About 31.4006.
What is 986 in Roman numerals?
CMLXXXVI.
Is 986 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 986?
It is a composite number with 8 divisors.