The number 26982
26982 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1499. Divisors (12): 1, 2, 3, 6, 9, 18, 1499, 2998, 4497, 8994, 13491, 26982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26982 is composite. Its prime factorisation is
- 3
The divisors add up to 58500; without 26982 itself that is 31518, so 26982 is abundant (31518 is more than 26982). Euler's totient φ(26982) = 8988 numbers up to 26982 share no factor with it.
- 4
The digits of 26982 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26982 = 2 \times 3^{2} \times 1499 \]26982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 58500 |
| Euler totient φ(n) | 8988 |
| Square | 728028324 |
| Cube | 19643660238168 |
| Square root | 164.261986 (= 3√2998) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.6982 × |
26982 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and eighty-two |
| Binary (base 2) | 110100101100110 |
| Octal (base 8) | 64546 |
| Hexadecimal (base 16) | 6966 |
| Base 3 | 1101000100 |
| As time | 26982 seconds = 7 h 29 min 42 s |
Is 26982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26982 ÷ 2 = 13491) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26982 ÷ 3 = 8994) | 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 (26982 ÷ 6 = 4497) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (26982 ÷ 9 = 2998) | 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 10) | 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 26982 a prime number?
No. 26982 = 2 × × 1499, so it is divisible by 2.
What are the factors of 26982?
1, 2, 3, 6, 9, 18, 1499, 2998, 4497, 8994, 13491, 26982.
What is 26982 in binary?
110100101100110 (hexadecimal 6966, octal 64546).
What is the square root of 26982?
About 164.2620, exactly 3√2998.
Is 26982 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 26982?
It is a composite number with 12 divisors.