The number 98982
98982 is a composite number with 40 divisors. Its prime factorisation is 2 × × 13 × 47. Divisors (40): 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 47, 54, 78, 81, 94, 117 … 98982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98982 is composite. Its prime factorisation is
- 3
The divisors add up to 243936; without 98982 itself that is 144954, so 98982 is abundant (144954 is more than 98982). Euler's totient φ(98982) = 29808 numbers up to 98982 share no factor with it.
- 4
The digits of 98982 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98982 = 2 \times 3^{4} \times 13 \times 47 \]98982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 243936 |
| Euler totient φ(n) | 29808 |
| Square | 9797436324 |
| Cube | 969769842222168 |
| Square root | 314.614049 (= 9√1222) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.8982 × |
98982 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand nine hundred and eighty-two |
| Binary (base 2) | 11000001010100110 |
| Octal (base 8) | 301246 |
| Hexadecimal (base 16) | 182A6 |
| Base 3 | 12000210000 |
| As time | 98982 seconds = 27 h 29 min 42 s |
Is 98982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98982 ÷ 2 = 49491) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98982 ÷ 3 = 32994) | 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 (98982 ÷ 6 = 16497) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (98982 ÷ 9 = 10998) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98982 a prime number?
No. 98982 = 2 × × 13 × 47, so it is divisible by 2.
What are the factors of 98982?
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 47, 54, 78, 81, 94, 117, 141, 162, 234, 282, 351, 423, 611, 702, 846, 1053, 1222, 1269, 1833, 2106, 2538, 3666, 3807, 5499, 7614, 10998, 16497, 32994, 49491, 98982.
What is 98982 in binary?
11000001010100110 (hexadecimal 182A6, octal 301246).
What is the square root of 98982?
About 314.6140, exactly 9√1222.
Is 98982 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 98982?
It is a composite number with 40 divisors.