The number 80968
80968 is a composite number with 16 divisors. Its prime factorisation is × 29 × 349. Divisors (16): 1, 2, 4, 8, 29, 58, 116, 232, 349, 698, 1396, 2792, 10121, 20242, 40484, 80968.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80968 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80968 is composite. Its prime factorisation is
- 3
The divisors add up to 157500; without 80968 itself that is 76532, so 80968 is deficient (76532 is less than 80968). Euler's totient φ(80968) = 38976 numbers up to 80968 share no factor with it.
- 4
The digits of 80968 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80968 = 2^{3} \times 29 \times 349 \]80968 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 157500 |
| Euler totient φ(n) | 38976 |
| Square | 6555817024 |
| Cube | 530811392799232 |
| Square root | 284.548766 (= 2√20242) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.0968 × |
80968 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand nine hundred and sixty-eight |
| Binary (base 2) | 10011110001001000 |
| Octal (base 8) | 236110 |
| Hexadecimal (base 16) | 13C48 |
| Base 3 | 11010001211 |
| As time | 80968 seconds = 22 h 29 min 28 s |
Is 80968 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80968 ÷ 2 = 40484) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80968 ÷ 4 = 20242) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (80968 ÷ 8 = 10121) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80968 a prime number?
No. 80968 = × 29 × 349, so it is divisible by 2.
What are the factors of 80968?
1, 2, 4, 8, 29, 58, 116, 232, 349, 698, 1396, 2792, 10121, 20242, 40484, 80968.
What is 80968 in binary?
10011110001001000 (hexadecimal 13C48, octal 236110).
What is the square root of 80968?
About 284.5488, exactly 2√20242.
Is 80968 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 80968?
It is a composite number with 16 divisors.