The number 80971
80971 is a composite number with 8 divisors. Its prime factorisation is 11 × 17 × 433. Divisors (8): 1, 11, 17, 187, 433, 4763, 7361, 80971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80971 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80971 is composite. Its prime factorisation is
- 3
The divisors add up to 93744; without 80971 itself that is 12773, so 80971 is deficient (12773 is less than 80971). Euler's totient φ(80971) = 69120 numbers up to 80971 share no factor with it.
- 4
The digits of 80971 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80971 = 11 \times 17 \times 433 \]
80971 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 93744 |
| Euler totient φ(n) | 69120 |
| Square | 6556302841 |
| Cube | 530870397338611 |
| Square root | 284.554037 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 76 |
| Scientific notation | 8.0971 × |
80971 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand nine hundred and seventy-one |
| Binary (base 2) | 10011110001001011 |
| Octal (base 8) | 236113 |
| Hexadecimal (base 16) | 13C4B |
| Base 3 | 11010001221 |
| As time | 80971 seconds = 22 h 29 min 31 s |
Is 80971 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (80971 ÷ 11 = 7361) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80971 a prime number?
No. 80971 = 11 × 17 × 433, so it is divisible by 11.
What are the factors of 80971?
1, 11, 17, 187, 433, 4763, 7361, 80971.
What is 80971 in binary?
10011110001001011 (hexadecimal 13C4B, octal 236113).
What is the square root of 80971?
About 284.5540.
Is 80971 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 80971?
It is a composite number with 8 divisors.