The number 80997
80997 is a composite number with 24 divisors. Its prime factorisation is 3 × × 19 × 29. Divisors (24): 1, 3, 7, 19, 21, 29, 49, 57, 87, 133, 147, 203, 399, 551, 609, 931 … 80997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80997 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80997 is composite. Its prime factorisation is
- 3
The divisors add up to 136800; without 80997 itself that is 55803, so 80997 is deficient (55803 is less than 80997). Euler's totient φ(80997) = 42336 numbers up to 80997 share no factor with it.
- 4
The digits of 80997 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80997 = 3 \times 7^{2} \times 19 \times 29 \]80997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 136800 |
| Euler totient φ(n) | 42336 |
| Square | 6560514009 |
| Cube | 531381953186973 |
| Square root | 284.599719 (= 7√1653) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.0997 × |
80997 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand nine hundred and ninety-seven |
| Binary (base 2) | 10011110001100101 |
| Octal (base 8) | 236145 |
| Hexadecimal (base 16) | 13C65 |
| Base 3 | 11010002220 |
| As time | 80997 seconds = 22 h 29 min 57 s |
Is 80997 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80997 ÷ 3 = 26999) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (80997 ÷ 7 = 11571) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80997 a prime number?
No. 80997 = 3 × × 19 × 29, so it is divisible by 3.
What are the factors of 80997?
1, 3, 7, 19, 21, 29, 49, 57, 87, 133, 147, 203, 399, 551, 609, 931, 1421, 1653, 2793, 3857, 4263, 11571, 26999, 80997.
What is 80997 in binary?
10011110001100101 (hexadecimal 13C65, octal 236145).
What is the square root of 80997?
About 284.5997, exactly 7√1653.
Is 80997 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 80997?
It is a composite number with 24 divisors.